Publication activity of the Teaching staff of the Faculty of Mechanics and Mathematics for the last 5 years

№	Title of publication	Output (doi articles)	Article abstract	Citation link (full name, article title, title, number and/or issue, journal volume, pages, doi articles)
1.	About the generalized Dirichlet-Neumann problem for an elliptic equation of high order	DOI:10.1063/1.5049007	For the elliptic equation 2l- th order with constant (and only) real coefficients considered boundary value problem of the job normal derivatives the (kj - 1)- order, j = 1, ⋯, l, where 1 ≤ k1< ⋯	Koshanov B., Soldatov A. . About the generalized Dirichlet-Neumann problem for an elliptic equation of high order // AIP Conference Proceedings. - 2018. - Vol.1997. DOI:10.1063/1.5049007
2	New boundary value problems for fourth-order quasi-hyperbolic equations	DOI:10.33048/SEMI.2019.16.098	In this paper, we study the correctness in the spaces of S.L. Sobolev of new boundary value problems for quasi-hyperbolic differential equations u_tttt + Au = f(x; t) (A is an elliptic operator acting on spatial variables). For the proposed tasks theorems on the existence and uniqueness of solutions are proved, and examples of non-uniqueness are given.	Kozhanov A.I., Koshanov B., Sultangazieva J. New boundary value problems for fourth-order quasi-hyperbolic equations // Siberian Electronic Mathematical Reports. – 2019. - Vol.16. – Р. 1410 – 1436. DOI:10.33048/SEMI.2019.16.098
3	On Fredholm solvability and on the index of the generalized Neumann problem for an elliptic equation	DOI:10.1080/17476933.2021.1958797	In this paper, we investigate the Fredholm solvability of the generalized Neumann problem for a high-order elliptic equation in the plane. The equivalence of the solvability conditions of the generalized Neumann problem to the complementarity condition (Shapiro–Lopatinsky condition) is proved. The formula for the index of the specified problem in the class (Formula presented.) is calculated. © 2021 Informa UK Limited, trading as Taylor & Francis Group.	Koshanov B., Soldatov A. . On Fredholm solvability and on the index of the generalized Neumann problem for an elliptic equation // Complex Variables and Elliptic Equations. – 2021. - Р. 1-17.
4	A numerical simulation of air flow in the human respiratory system for various environmental conditions	DOI: 10.1186/s12976-020-00133-8	The functions of the nasal cavity are very important for maintaining the internal environment of the lungs since the inner walls of the nasal cavity control the temperature and saturation of the inhaled air with water vapor until the nasopharynx is reached. In this paper, three-dimensional computational studies of airflow transport in the models of the nasal cavity were carried out for the usual inspiratory velocity in various environmental conditions. Three-dimensional numerical results are compared with experimental data and calculations of other authors. Numerical results show that during normal breathing, the human nose copes with heat and relative moisture metabolism in order to balance the intra-alveolar conditions. It is also shown in this paper that a normal nose can maintain balance even in extreme conditions, for example, in cold and hot weather. The nasal cavity accelerates heat transfer by narrowing the air passages and swirls from the nasal concha walls of the inner cavity. © 2020, The Author(s).	Issakhov A., Zhandaulet Y., Issakhov A., Abylkassymova A. . A numerical simulation of air flow in the human respiratory system for various environmental conditions // Theoretical Biology and Medical Modelling. - 2021. - Vol.18. DOI: 10.1186/s12976-020-00133-8
4	Solvability issues of a pseudo‐parabolic fractional order equation with a nonlinear boundary condition	DOI: 10.3390/fractalfract5040134	This paper is devoted to the fundamental problem of investigating the solvability of ini-tial‐boundary value problems for a quasi‐linear pseudo‐parabolic equation of fractional order with a sufficiently smooth boundary. The difference between the studied problems is that the boundary conditions are set in the form of a nonlinear boundary condition with a fractional differentiation operator. The main result of this work is establishing the local or global solvability of stated prob-lems, depending on the parameters of the equation. The Galerkin method is used to prove the existence of a quasi‐linear pseudo‐parabolic equation’s weak solution in a bounded domain. Using Sobolev embedding theorems, a priori estimates of the solution are obtained. A priori estimates and the Rellich–Kondrashov theorem are used to prove the existence of the desired solutions to the considered boundary value problems. The uniqueness of the weak generalized solutions of the initial boundary value problems is proved on the basis of the obtained a priori estimates and the application of the generalized Gronwall lemma. The need to consider and study such initial boundary value problems for a quasi‐linear pseudo‐parabolic equation follows from practical re-quirements, such as solving fractional differential equations that simulate physical processes that occur during the study of liquid filtration processes, etc. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.	Aitzhanov S.E., Berdyshev A.S., Bekenayeva K.S. Solvability issues of a pseudo‐parabolic fractional order equation with a nonlinear boundary condition // Fractal and Fractional. - 2021. - Vol.5. DOI: 10.3390/fractalfract5040134
5	Van der Corput lemmas for Mittag-Leffler functions. II. α–directions	DOI 10.1016/j.bulsci.2021.103016	The paper is devoted to study analogues of the van der Corput lemmas involving Mittag-Leffler functions. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study oscillatory integrals appearing in the analysis of time-fractional partial differential equations. More specifically, we study integral of the form Iα,β(λ)=∫REα,β(iαλϕ(x))ψ(x)dx, for the range 0[removed]0. This extends the variety of estimates obtained in the first part, where integrals with functions Eα,β(iλϕ(x)) have been studied. Several generalisations of the van der Corput lemmas are proved. As an application of the above results, the generalised Riemann-Lebesgue lemma, the Cauchy problem for the time-fractional Klein-Gordon and time-fractional Schrödinger equations are considered. © 2021 The Authors	Ruzhansky M.,Torebek B.T. . Van der Corput lemmas for Mittag-Leffler functions. II. α–directions // Bulletin des Sciences Mathematiques. – 2021. - Vol.171.
6	On a model of the generation of turbulence	DOI: 10.1016/j.chaos.2021.111099	In this article, the nonlinear term of the Navier-Stokes equation is approximated to nonlinear convolutional expressions. At low values of viscosity, their values are close if the carrier of the convolution is of the same order of magnitude as the value of viscosity. It is expected that the dynamics of the thus obtained modified Navier-Stokes equation preserves the physical phenomena described by the Navier-Stokes equation. The dynamics of the modified Navier-Stokes equation is investigated in this work. © 2021 Elsevier Ltd	Kanguzhin B.E. . On a model of the generation of turbulence // Chaos, Solitons and Fractals. – 2021. - Vol.150. DOI: 10.1016/j.chaos.2021.111099
7	An inverse problem for generalized Kelvin-Voigt equation with p-Laplacian and damping term	DOI 10.1088/1361-6420/ac1362	In this paper, we consider the nonlinear inverse problem for generalized Kelvin-Voigt equations with the p-Laplace diffusion and damping term, describing the motion of incompressible viscous fluids. We assume that the damping term in the momentum equation depends on whether its signal is positive or negative, which may realizes the presence of a source or a sink within the system. The investigated inverse problem consists of finding a coefficient f(t) of the right-hand side of the momentum equation, a vector of velocity field v, and a pressure π. An additional information on a solution of the inverse problem is given as integral overdetermination condition. Under several assumptions on the exponents p, m, the coefficients μ, κ, γ, the dimension of the space d, and specified initial data, we prove the existence and uniqueness of the weak solution of the problem. © 2021 IOP Publishing Ltd.	Antontsev S.N., Khompysh K. . An inverse problem for generalized Kelvin-Voigt equation with p-Laplacian and damping term // Inverse Problems. – 2021. - Vol.37. DOI 10.1088/1361-6420/ac1362
8	Identification of the domain of the sturm–liouville operator on a star graph	DOI 10.3390/sym13071210	This article is devoted to the unique recovering of the domain of the Sturm–Liouville operator on a star graph. The domain of the Sturm–Liouville operator is uniquely identified from the set of spectra of a finite number of specially selected canonical problems. In the general case, the domain of the definition of the original operator can be specified by integro-differential linear forms. In the case when the domain of the Sturm–Liouville operator on a star graph corresponds to the boundary value problem, it is sufficient to choose only finite parts of the spectra of canonical problems for a unique identification of the boundary form. Moreover, the above statement is valid only for a symmetric star graph. © 2021 by the authors.	Kanguzhin B., Aimal Rasa G.H., Kaiyrbek Z. . Identification of the domain of the sturm–liouville operator on a star graph // Symmetry. – 2021. - Vol.13. DOI 10.3390/sym13071210
9	On the localization of the spectrum of some perturbations of a two-dimensional harmonic oscillator	DOI:10.1080/17476933.2021.1885386	In this paper, we study the localization of the discrete spectrum of certain perturbations of a two-dimensional harmonic oscillator. The convergence of the expansion of the source function in terms of the eigenfunctions of a two-dimensional harmonic oscillator is investigated. A representation of Green's function of a two-dimensional harmonic oscillator is obtained. The singularities of Green's function are highlighted. The well-posed definition of the maximal operator generated by a two-dimensional harmonic oscillator on a specially extended domain of definition is given. Then, we describe everywhere solvable invertible restrictions of the maximal operator. We establish that the eigenvalues of a harmonic oscillator will also be the eigenvalues of well-posed restrictions. The results are supported by illustrative examples. © 2021 Informa UK Limited, trading as Taylor & Francis Group.	Kanguzhin B.E., Fazullin Z. . On the localization of the spectrum of some perturbations of a two-dimensional harmonic oscillator // Journal of Mathematical Sciences (United States). – 2021. . - Vol.66. – Р. 1194 - 1208. DOI:10.1080/17476933.2021.1885386
10	Operators Whose Resolvents Have Convolution Representations and their Spectral Analysis	DOI 10.1007/s10958-020-05167-4	In this paper, we study spectral decompositions with respect to a system of generalized eigenvectors of second-order differential operators on an interval whose resolvents possess convolution representations. We obtain the convolution representation of resolvents of second-order differential operators on an interval with integral boundary conditions. Then, using the convolution generated by the initial differential operator, we construct the Fourier transform. A connection between the convolution operation in the original functional space and the multiplication operation in the space of Fourier transforms is established. Finally, the problem on the convergence of spectral expansions generated by the original differential operator is studied. Examples of convolutions generated by operators are also presented. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.	Kanguzhin B.E.. Operators Whose Resolvents Have Convolution Representations and their Spectral Analysis // Journal of Mathematical Sciences (United States). – 2021. . - Vol.252. – Р. 384 - 398. DOI: 10.1007/s10958-020-05167-4
11	Identification of mathematical model of bacteria population under the antibiotic influence	DOI 10.1515/jiip-2017-0102	This work is devoted to the identification of a mathematical model of bacteria population under the antibiotic influence, based on the solution of the corresponding inverse problems. These problems are solved by the gradient method, genetic algorithm and Nelder-Mead method. Calculations are made using model and real data. © 2020 De Gruyter.	Serovajsky S., Nurseitov D., Kabanikhin S., Azimov A., Ilin A., Islamov R.. Identification of mathematical model of bacteria population under the antibiotic influence // Journal of Inverse and Ill-Posed Problems. – 2021. - Vol.26. – Р. 384 - 398. DOI: 10.1515/jiip-2017-0102.
12	On One Algorithm To Find a Solution to a Linear Two-Point Boundary Value Problem	DOI 10.1134/S1995080221030173	Abstract: A two-parameter family of algorithms for finding an approximatesolution to a linear two-point boundary value problem for a systemof ordinary differential equations is offered. The convergenceconditions for the algorithms are obtained. The necessary andsufficient coefficient conditions for the well-posedness ofconsidered problem are established. © 2021, Pleiades Publishing, Ltd.	Temesheva S.M., Dzhumabaev D.S, Kabdrakhova S.S. . On One Algorithm To Find a Solution to a Linear Two-Point Boundary Value Problem // Lobachevskii Journal of Mathematics. – 2021. - Vol.42. – Р. 606 - 612. DOI: 10.1134/S1995080221030173.
13	The classical Kelvin-Voigt problem for incompressible fluids with unknown non-constant density: Existence, uniqueness and regularity	DOI 10.1088/1361-6544/abe51e	The classical Kelvin-Voigt equations for incompressible fluids with non-constant density are investigated in this work. To the associated initial-value problem endowed with zero Dirichlet conditions on the assumed Lipschitz-continuous boundary, we prove the existence of weak solutions: velocity and density. We also prove the existence of a unique pressure. These results are valid for d ∈ {2, 3, 4}. In particular, if d ∈ {2, 3}, the regularity of the velocity and density is improved so that their uniqueness can be shown. In particular, the dependence of the regularity of the solutions on the smoothness of the given data of the problem is established. © 2021 IOP Publishing Ltd & London Mathematical Society.	Antontsev S.N., De Oliveira H.B., Khompysh K. . The classical Kelvin-Voigt problem for incompressible fluids with unknown non-constant density: Existence, uniqueness and regularity // Nonlinearity. – 2021. - Vol.34. – Р. 3083 – 3111. DOI: 10.1088/1361-6544/abe51e.
14	Kelvin-Voigt equations with anisotropic diffusion, relaxation and damping: Blow-up and large time behavior	DOI 10.3233/ASY-201597	A nonlinear initial and boundary-value problem for the Kelvin-Voigt equations with anisotropic diffusion, relaxation and absorption/damping terms is considered in this work. The global and local unique solvability of the problem was established in (J. Math. Anal. Appl. 473(2) (2019) 1122-1154). In the present work, we show how all the anisotropic exponents of nonlinearity and all anisotropic coefficients should interact with the problem data for the solutions of this problem display exponential and polynomial time-decays. We also establish the conditions for the solutions of this problem to blow-up in a finite time in three different cases: problem without convection, full anisotropic problem, and the problem with isotropic relaxation. © 2021 - IOS Press. All rights reserved.	Antontsev S.N., De Oliveira H.B., Khompysh K. . Kelvin-Voigt equations with anisotropic diffusion, relaxation and damping: Blow-up and large time behavior // Asymptotic Analysis. – 2021. - Vol.121. – Р. 125 - 157. DOI: 10.3233/ASY-201597
15	Punctual Dimension of Algebraic Structures in Certain Classes	DOI: 10.1134/S1995080221040089	A nonlinear initial and boundary-value problem for the Kelvin-Voigt equations with anisotropic diffusion, relaxation and absorption/damping terms is considered in this work. The global and local unique solvability of the problem was established in (J. Math. Anal. Appl. 473(2) (2019) 1122-1154). In the present work, we show how all the anisotropic exponents of nonlinearity and all anisotropic coefficients should interact with the problem data for the solutions of this problem display exponential and polynomial time-decays. We also establish the conditions for the solutions of this problem to blow-up in a finite time in three different cases: problem without convection, full anisotropic problem, and the problem with isotropic relaxation. © 2021 - IOS Press. All rights reserved.	Dorzhieva, M.V.,Issakhov, A.A., Kalmurzayev, B.S., Kornev, R.A., Kotov, M.V. . Punctual Dimension of Algebraic Structures in Certain Classes // Lobachevskii Journal of Mathematics. – 2021. - Vol. 42. – Р. 716 - 725. DOI: 10.1134/S1995080221040089
16	Non-commutative analogues of weak compactness criteria in symmetric spaces	DOI 10.1007/s43036-021-00129-2	The aim of this work is to study M. Nowak’s and K. M. Chong’s weak compactness criteria in non-commutative Orlicz spaces. In addition, we obtain a non-commutative analogue of Pełczyński’s property (V) in Orlicz spaces of τ-measurable operators. We also obtain Kolmogorov’s compactness criterion in terms of conditional expectations in non-commutative symmetric spaces. © 2021, This is a U.S. government work and not under copyright protection in the U.S.; foreign copyright protection may apply.	Nessipbayev Y., Sukochev F., Tulenov K. . Non-commutative analogues of weak compactness criteria in symmetric spaces // Advances in Operator Theory. – 2021. - Vol. 6. DOI: 10.1007/s43036-021-00129-2
17	The boundedness of the Hilbert transformation from one rearrangement invariant Banach space into another and applications	DOI 10.1016/j.bulsci.2020.102943	In this paper, we study the boundedness of the Hilbert transformation in Lorentz function spaces, thereby complementing classical results of Boyd. We also characterize the optimal range of a triangular truncation operator in Schatten-Lorentz ideals. These results further entail sharp commutator estimates and applications to operator Lipschitz functions in Schatten-Lorentz ideals. © 2020 Elsevier Masson SAS	Zanin D., Sukochev F., Tulenov K. . The boundedness of the Hilbert transformation from one rearrangement invariant Banach space into another and applications // Bulletin des Sciences Mathematiques. – 2021. - Vol. 167. DOI: 10.1016/j.bulsci.2020.102943
18	OPTIMAL REARRANGEMENT-INVARIANT BANACH FUNCTION RANGE FOR THE HILBERT TRANSFORM	DOI 10.32523/2077-9879-2021-12-2-90-103	We describe the optimal rearrangement-invariant Banach function range of the classical Hilbert transform acting on a rearrangement-invariant Banach function space. We also show the existence of such optimal range for the Lorentz and Marcinkiewicz spaces. © 2021. The L.N. Gumilyov Eurasian National University.	Tulenov K. . OPTIMAL REARRANGEMENT-INVARIANT BANACH FUNCTION RANGE FOR THE HILBERT TRANSFORM // Eurasian Mathematical Journal. – 2021. - Vol. 12. – Р. 01 – 23. DOI: 10.32523/2077-9879-2021-12-2-90-103
19	Asymptotic behavior of the solution of a singularly perturbed general boundary value problem with boundary jumps	DOI 10.1002/num.22719	It is known that the study of boundary value and mixed problems for integrable linear equations encounters significant difficulties of a fundamental nature. Exceptions are problems with boundary conditions of a special type, which are often called integrable or linearizable. The purpose of this article is to study the asymptotic behaviors of solutions of singularly perturbed general boundary value problems with boundary jumps for higher-order equations. Using the Schlesinger–Birghof theorem, we constructed a fundamental system of solutions of a homogeneous perturbed equation of conditionally stable type in the critical case. Initial boundary functions are constructed based on the fundamental system of solutions. An analytical representation is found, the existence and uniqueness of a solution to this boundary value problem are proved. Asymptotic estimates of the solution and its derivatives are derived from the analytical representation of the solution of the given boundary value problem. The limit passage of solution of the perturbed problem to the solution of the unperturbed problem is proved. The conditions of the existence of jumps are found. The values of boundary jumps are determined. As a result, a class of boundary value problems is highlighted that has possessing of phenomenon of boundary jumps. © 2020 Wiley Periodicals LLC	Nurgabyl D.N., Uaissov A.B. . Asymptotic behavior of the solution of a singularly perturbed general boundary value problem with boundary jumps // Numerical Methods for Partial Differential Equations. – 2021. - Vol. 37. – Р. 2375 - 2392. DOI: 10.1002/num.22719.
20	Integral Representations of Vector Functions Based on the Parametrix of First-Order Elliptic Systems	DOI 10.1134/S0965542521030143	Abstract: Generalized integrals are introduced with kernels depending on the difference of the arguments taken over a domain and a smooth contour, the boundary of this domain. These kernels arise as parametrixes of first-order elliptic systems with variable coefficients. Using such integrals (with complex density over the domain and real density over the contour), representations of vector functions that are smooth in the closed domain are described. The Fredholmity of the representation obtained in the corresponding Banach spaces is established. © 2021, Pleiades Publishing, Ltd.	Soldatov A.P., Otelbaev M.. Integral Representations of Vector Functions Based on the Parametrix of First-Order Elliptic Systems // Computational Mathematics and Mathematical Physics. – 2021. - Vol. 61. – Р. 964 - 973. DOI: 10.1002/num.22719.
21	On Green’s function of Cauchy–Dirichlet problem for hyperbolic equation in a quarter plane	DOI 10.1186/s13661-021-01544-3	The definition of a Green’s function of a Cauchy–Dirichlet problem for the hyperbolic equation in a quarter plane is given. Its existence and uniqueness have been proven. Representation of the Green’s function is given. It is shown that the Green’s function can be represented by the Riemann–Green function. © 2021, The Author(s).	Sadybekov M., Derbissaly B. .On Green’s function of Cauchy–Dirichlet problem for hyperbolic equation in a quarter plane // Boundary Value Problems. – 2021. - Vol. 2021. DOI: 10.1186/s13661-021-01544-3.
22	Boundary Conditions of Volume Hyperbolic Potential in a Domain with Curvilinear Boundary	DOI 10.1007/978-3-030-69292-6_20	A one-dimensional volume hyperbolic potential in a domain with curvilinear boundaries is studied. As a kernel of the hyperbolic potential the fundamental solution of the Cauchy problem is chosen. It is well-known that in this case the volume hyperbolic potential satisfies homogeneous initial conditions. The boundary conditions to which the hyperbolic potential satisfies at lateral boundaries of the domain are constructed. It is shown that the formulated initial-boundary value problem has the unique classical solution. © 2021, Springer Nature Switzerland AG.	Sadybekov M., Derbissaly B. . Boundary Conditions of Volume Hyperbolic Potential in a Domain with Curvilinear Boundary // Springer Proceedings in Mathematics and Statistics. – 2021. - Vol. 351. - Р. 257 – 271. DOI: 10.1007/978-3-030-69292-6_20
23	Optimal Cubature Formulas on Classes of Periodic Functions in Several Variables	DOI 10.1134/S0081543821010028	Abstract: We establish sharp order estimates for the error of optimal cubature formulas on the Nikol’skii–Besov and Lizorkin–Triebel type spaces, $$B^{s\,\mathtt{m}}_{p\,q}(\mathbb T^m)$$ and $$L^{s\,\mathtt{m}}_{p\,q}(\mathbb T^m)$$, respectively, for a number of relations between the parameters $$s$$, $$p$$, $$q$$, and $$\mathtt{m}$$ ($$s=(s_1,\dots,s_n)\in\mathbb R^n_+$$, $$1\leq p,q\leq\infty$$, $$\mathtt{m}=(m_1,\dots,m_n)\in{\mathbb N}^n$$, $$m=m_1+\dots+m_n$$). Lower estimates are proved via Bakhvalov’s method. Upper estimates are based on Frolov’s cubature formulas. © 2021, Pleiades Publishing, Ltd.	Bazarkhanov D.B. . Optimal Cubature Formulas on Classes of Periodic Functions in Several Variables // Proceedings of the Steklov Institute of Mathematics. – 2021. - Vol. 312. - Р. 16 - 36. DOI: 10.1134/S0081543821010028
24	Mixed convection in a channel with buoyancy force over backward and forward facing steps: The effects of inclination and geometry	DOI 10.1016/j.csite.2021.101152	This paper presents the computational results of heat transfer for a 2D laminar flow with different channel tilts with forward facing step and backward facing step, taking into account buoyancy forces for various bottom wall lengths. The inclination angle influence on the distribution of velocity and temperature is investigated. The validated numerical algorithm was used to the problem forward and backward facing steps with buoyancy force and at various tilt angles. From the obtained numerical results, it can be noticed that the length of the lower part of the channel has a very strong effect on the flow fluctuation and temperature distribution over the entire channel. It should be noticed that the tilt angle also has a very strong effect on the distribution of flow and temperature. Thus, taking into account the buoyancy force changes the shape of the main recirculation region, but at the same time, regardless of the different tilt angles, the number of vortices does not change, but only the size of the vortices changes. It should also be noticed that when the buoyancy force is taken into account, cooling occurs more efficiently in the middle of the channel. © 2021	Issakhov A., Zhandaulet Y., Abylkassyomova A., Sakypbekova M., Issakhov A.. Mixed convection in a channel with buoyancy force over backward and forward facing steps: The effects of inclination and geometry // Case Studies in Thermal Engineering. – 2021. - Vol. 26. DOI: 10.1016/j.csite.2021.101152
25	Principal frequency of p-sub-Laplacians for general vector fields	DOI 10.4171/ZAA/1674	In this paper, we prove the uniqueness and simplicity of the principal frequency (or the first eigenvalue) of the Dirichlet p-sub-Laplacian for general vector fields. As a byproduct, we establish the Caccioppoli inequalities and also discuss the particular cases on the Grushin plane and on the Heisenberg group. © European Mathematical Society	Ruzhansky M., Sabitbek B., Suragan D. . Principal frequency of p-sub-Laplacians for general vector fields // Zeitschrift fur Analysis und ihre Anwendung. – 2021. - Vol. 40. – Р. 97 – 109. DOI: 10.4171/ZAA/1674
26	Geometric Hardy Inequalities on Starshaped Sets	ISSN 09446532	We present geometric Hardy inequalities on starshaped sets in Carnot groups. Also, we obtain geometric Hardy inequalities on half-spaces for general vector fields. © Heldermann Verlag	Ruzhansky M., Sabitbek B., Suragan D. . Geometric Hardy Inequalities on Starshaped Sets s // Journal of Convex Analysis. – 2021. - Vol. 28.
27	Sobolev, Hardy, Gagliardo–Nirenberg, and Caffarelli–Kohn–Nirenberg-type inequalities for some fractional derivatives	DOI 10.1007/s43037-020-00097-4	In this paper, we show different inequalities for fractional-order differential operators. In particular, the Sobolev, Hardy, Gagliardo–Nirenberg, and Caffarelli–Kohn–Nirenberg-type inequalities for the Caputo, Riemann–Liouville, and Hadamard derivatives are obtained. In addition, we show some applications of these inequalities. © 2020, Tusi Mathematical Research Group (TMRG).	Kassymov A., Ruzhansky M., Tokmagambetov N., Torebek B.T.. Sobolev, Hardy, Gagliardo–Nirenberg, and Caffarelli–Kohn–Nirenberg-type inequalities for some fractional derivatives // Banach Journal of Mathematical Analysis. – 2021. - Vol. 15. DOI: 10.1007/s43037-020-00097-4
28	Cauchy type problems for fractional differential equations	DOI 10.1080/10652469.2021.1900174	While it is known that one can consider the Cauchy problem for evolution equations with Caputo derivatives, the situation for the initial value problems for the Riemann–Liouville derivatives is less understood. In this paper, we propose new type initial, inner, and inner-boundary value problems for fractional differential equations with the Riemann–Liouville derivatives. The results on the existence and uniqueness are proved, and conditions on the solvability are found. The well-posedness of the new type of initial, inner, and inner-boundary conditions is also discussed. Moreover, we give explicit formulas for the solutions. As an application fractional partial differential equations for general positive operators are studied. © 2021 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.	Karimov E., Ruzhansky M., Tokmagambetov N. . Sobolev, Hardy, Gagliardo–Nirenberg, and Caffarelli–Kohn–Nirenberg-type inequalities for some fractional derivatives // Integral Transforms and Special Functions. – 2021. DOI: 10.1080/10652469.2021.1900174
29	Direct and inverse problems for time-fractional pseudo-parabolic equations	DOI 10.2989/16073606.2021.192832	The purpose of this paper is to establish the solvability results to direct and inverse problems for time-fractional pseudo-parabolic equations with the self-adjoint operators. We are especially interested in proving existence and uniqueness of the solutions in the abstract setting of Hilbert spaces. © 2021 NISC (Pty) Ltd.	Serikbaev D., Ruzhansky M., Tokmagambetov N., Torebek B.T. . Direct and inverse problems for time-fractional pseudo-parabolic equations // Quaestiones Mathematicae. – 2021. DOI: 2989/16073606.2021.192832
30	Fractional Klein-Gordon equation with singular mass	DOI 10.1016/j.chaos.2020.110579	We consider a space-fractional wave equation with a singular mass term depending on the position and prove that it is very weak well-posed. The uniqueness is proved in some appropriate sense. Moreover, we prove the consistency of the very weak solution with classical solutions when they exist. In order to study the behaviour of the very weak solution near the singularities of the coefficient, some numerical experiments are conducted where the appearance of a wall effect for the singular masses of the strength of δ2 is observed. © 2020	Altybay A., Ruzhansky M., Tokmagambetov N., Sebih M.E. . Fractional Klein-Gordon equation with singular mass // Chaos, Solitons and Fractals. – 2021. - Vol. 143. DOI: 10.1016/j.chaos.2020.110579
31	Fractional Schrödinger Equation with Singular Potentials of Higher Order	DOI 10.1016/S0034-4877(21)00016-1	In this paper the space-fractional Schrödinger equations with singular potentials are studied. Delta like or even higher-order singularities are allowed. By using the regularising techniques, we introduce a family of ‘weakened’ solutions, calling them very weak solutions. The existence, uniqueness and consistency results are proved in an appropriate sense. Numerical simulations are done, and a particles accumulating effect is observed in the singular cases. From the mathematical point of view a “splitting of the strong singularity” phenomena is also observed. © 2021 Polish Scientific Publishers	Altybay A., Ruzhansky M., Tokmagambetov N., Sebih M.E. . Fractional Schrödinger Equation with Singular Potentials of Higher Order // Reports on Mathematical Physics. – 2021. - Vol. 87. – Р. 129 – 144. DOI: 10.1016/S0034-4877(21)00016-1
32.	Electrodeposition of polymer electrolyte in nanostructured electrodes for enhanced electrochemical performance of thin-film Li-ion microbatteries	DOI: 10.1016/j.jpowsour.2016.11.078 (IF=7,467; Q1 in Chemistry, Physical).	ABSTRACT : We report that electrodeposition of polymer electrolyte in nanostructured electrodes has a strong influence on the electrochemical properties of thin-film Li-ion microbatteries. Electropolymerization of PMMA-PEG (polymethyl methacrylate-polyethylene glycol) was carried out on both the anode (self-supported titania nanotubes) and the cathode (porous LiNi_0.5Mn_1.5O₄)by cyclic voltammetry and the resulting electrode-electrolyte interface was examined by scanning electron microscopy. The electrochemical characterizations performed by galvanostatic experiments reveal that the capacity values obtained at different C-rates are doubled when the electrodes are completely filled by the polymer electrolyte.	Salian, G.D., Lebouin, C., Demoulin, A., Lepihin, M.S., Maria, S., Galeyeva, A.K., Kurbatov, A.P., Djenizian, T. Electrodeposition of polymer electrolyte in nanostructured electrodes for enhanced electrochemical performance of thin-film Li-ion microbatteries. //Journal of Power Sources. – 2017. – Vol.340. – P.242-236 DOI: 10.1016/j.jpowsour.2016.11.078
33	Numerical heat transfer simulation of solar-geothermal hybrid source heat pump in Kazakhstan climates	DOI:10.1016/j.renene.2019.06.102 (SJR 0,18 ; Q4, Procentile 15 (General Chemistry)).	A numerical energy balance model has been proposed in this work for predicting the thermal performances of solar-geothermal hybrid source heat pumps in winter climates of Kazakhstan. The numerical simulation was performed for the year round continental climate conditions. The energy balance model has been developed based on first law of thermodynamics. The proposed heat pump configuration is working in solar mode during sunshine hours and geothermal model during off sunshine hours. Moreover, the system is operating in solar-geothermal hybrid model to meet the evaporator load during insufficient availability of solar and geothermal sources. The energy performance comparison between conventional geothermal source and solar-ground hybrid source heat pump configurations has been made. The influences of solar intensity, ambient temperature, heat pump operating temperatures are discussed. © 2018 Bulgarian Academy of Sciences.	@article{article, author = {Yerdesh, Yelnar and Abdulina, Zarina and Aliuly, Abdurashid and Belyayev, Yerzhan and Mohanraj, M. and Kaltayev, Aidarkhan}, year = {2019}, month = {06}, pages = {}, title = {Numerical simulation on solar collector and cascade heat pump combi water heating systems in Kazakhstan climates}, volume = {145}, journal = {Renewable Energy}, doi = {10.1016/j.renene.2019.06.102} }
34	Modelling of turbulence energy decay based on hybrid methods	DOI: 10.1108/EC-11-2016-0395 0.313; Q3; Procentile 63 (General Engineering), 52 (Computational Theory and Mathematics), 47 (Computer Science Applications). 35 (Software))	The purpose of this study is to present an exact and fast-calculated algorithm for the modelling of turbulent energy decay based on two different methods: finite-difference and spectral methods. Design/methodology/approach: The filtered three-dimensional non-stationary Navier–Stokes equation is used for simulating the turbulent process. The problem is solved using hybrid methods, where the equation of motion is solved using finite difference methods in combination with cyclic penta-diagonal matrix, which allowed to reach high order of accuracy, and Poisson equation is solved using the spectral methods, which is proposed to speed up the solution procedure. For validation of the given algorithm, the turbulent characteristics were compared with the exact solution of the classical Taylor and Green vortex problem, showing good agreement. Findings: The proposed method shows high computational efficiency and good estimation quality. A numerical algorithm for solving non-stationary three-dimensional Navier–Stokes equations for modelling of isotropic turbulence decay using hybrid methods was developed. The simulation’s turbulence characteristics show good agreements with analytical solution. The developed numerical algorithm can be used for simulation of turbulence decay with different values of viscosity. Originality/value: An efficient algorithm for simulation of turbulence processes depending on the properties of the viscosity was developed. © 2018, Emerald Publishing Limited.	@article{article, author = {Abdibekova, Aigerim and Zhakebayev, Dauren and Abdigaliyeva, Akmaral and Zhubat, Kuanysh}, year = {2018}, month = {08}, pages = {}, title = {Modelling of turbulence energy decay based on hybrid methods}, volume = {35}, journal = {Engineering Computations}, doi = {10.1108/EC-11-2016-0395} }
35	Mathematical modeling of electron irradiation of oil	DOI: 10.1108/EC-12-2016-0419 (SJR 0.313; Q3; Procentile 63 (General Engineering), 52 (Computational Theory and Mathematics), 47 (Computer Science Applications). 35 (Software))	Purpose: This paper aims to propose a mathematical model and numerical modeling to study the behavior of low conductive incompressible multicomponent hydrocarbon mixture in a channel under the influence of electron irradiation. In addition, it also aims to present additional mechanisms to study the radiation transfer and the separation of the mixture’s components. Design/methodology/approach: The three-dimensional non-stationary Navier–Stokes equation is the basis for this model. The Adams–Bashforth scheme is used to solve the convective terms of the equation of motion using a fourth-order accuracy five-point elimination method, and the viscous terms are computed with the Crank–Nicolson method. The Poisson equation is solved with the matrix sweep method and the concentration and electron irradiation equations are solved with the Crank–Nicolson method too. Findings: It shows high computational efficiency and good estimation quality. On the basis of numerical results of mathematical model, the effect of the separation of mixture to fractions with various physical characteristics was obtained. The obtained results contribute to the improvement of technologies for obtaining high-quality oil products through oil separation into light and heavy fractions. Mathematical model is approbated based on test problem, and has good agreement with the experimental data. Originality/value: The constructed mathematical model makes developing a methodology for conducting experimental studies of this phenomenon possible. © 2018, Emerald Publishing Limited.	@article{article, author = {Kizbayev, Assylzhan and Zhakebayev, Dauren and Abdibekov, Ualikhan and Khikmetov, Askar}, year = {2018}, month = {08}, pages = {}, title = {Mathematical modeling of electron irradiation of oil}, volume = {35}, journal = {Engineering Computations}, doi = {10.1108/EC-12-2016-0419} }
36	Hyperbolic-elliptic model for surface wave in a pre-stressed incompressible elastic half-space	DOI: 10.1016/j.mechrescom.2018.07.006 (SJR 0.681; Q3; Procentile 76 (Civil and Structural Engineering), 76 (Mechanical Engineering), 72 (Mechanics of Materials), 69 (Condensed Matter Physics), 66 (General Materials Science))	The paper aims at derivation of the asymptotic model for surface wave propagating in a pre-stressed incompressible elastic half-space, subject to prescribed surface loading. The approach relies on the slow-time perturbation procedure, extending the previously known hyperbolic-elliptic formulations for surface waves in compressible linearly elastic solids. Within the derived model, the decay away from the surface is governed by a pseudo-static elliptic equation, whereas wave propagation is described by a hyperbolic equation on the surface. The effect of pre-stress, namely, the principal Cauchy stress σ₂, is investigated. Finally, an illustrative example of the Lamb problem is considered, demonstrating the efficiency of the approach.	@article{article, author = {Khajiyeva, Lelya and Prikazchikov, D. and Prikazchikova, Ludmila}, year = {2018}, month = {07}, pages = {}, title = {Hyperbolic-elliptic model for surface wave in a pre-stressed incompressible elastic half-space}, volume = {92}, journal = {Mechanics Research Communications}, doi = {10.1016/j.mechrescom.2018.07.006} }
37	The effect of gas and fluid flows on nonlinear lateral vibrations of rotating drill strings	DOI: 10.1016/j.cnsns.2017.12.008 (SJR 1.159; Q1; Procentile 97 (Applied Mathematics), 96 (Numerical Analysis), 94 (Modeling and Simulation))	In this work we develop nonlinear mathematical models describing coupled lateral vibrations of a rotating drill string under the effect of external supersonic gas and internal fluid flows. An axial compressive load and a torque also affect the drill string. The mathematical models are derived by the use of Novozhilov's nonlinear theory of elasticity with implementation of Hamilton's variation principle. expressions for the gas flow pressure are determined according to the piston theory. The fluid flow is considered as added mass inside the curved tube of the drill string. Using an algorithm developed in the Mathematica computation program on the basis of the Galerkin approach and the stiffness switching method the numerical solution of the obtained approximate differential equations is found. Influences of the external loads, drill string angular speed of rotation, parameters of the gas and fluid flows on the drill string vibrations are shown.	@article{article, author = {Khajiyeva, Lelya and Kudaibergenov, Askar and Kudaibergenov, Askat}, year = {2017}, month = {12}, pages = {}, title = {The effect of gas and fluid flows on nonlinear lateral vibrations of rotating drill strings}, volume = {59}, journal = {Communications in Nonlinear Science and Numerical Simulation}, doi = {10.1016/j.cnsns.2017.12.008} }
38	Detailed Comparative Analysis of Interaction of a Supersonic Flow with a Transverse Gas Jet at High Pressure Ratios	DOI: 10.1134/S1063784219100049 (SJR 0.297; Q4; Procentile 23 (Physics and Astronomy (miscellaneous))	Abstract: The interaction of a 3D supersonic turbulent gas flow with a transverse sonic jet injected from the wall has been studied in detail both numerically and experimentally. However, the main drawback of such studies is the lack of detailed description of formation and propagation of vortex structures for moderate and large parameters n (ratio of pressure in the jet to pressure in the flow). Analysis performed in this study is aimed at revelation and detailed explanation of mechanisms of formation of vortices behind the injected sonic jet in a supersonic oncoming flow depending on n for improving the effectiveness of mixing of the jet with the flow. As initial equations, we have used 3D Favre-averaged Navier–Stokes equations closed by the k–ω model of turbulence; these equations are solved using the algorithm based on the essentially nonoscillatory scheme of the third approximation order. We have demonstrated the presence of the following vortex structures known from a number of theoretical publications: two oppositely rotating vortices in front of the jet, a horseshoe vortex; and two pairs formed in the mixing zone between the jet and the flow (one in the wake behind the jet and the other on the lateral line of the jet). We have determined the pressure ratios for which extra pairs of vortices appear (one pair emerges at the Mach disk edge as a result of interaction of a retarded flow of the jet behind the Mach disk with a high-velocity ascending flow behind the barrel and the other pair is formed due to the interaction of the ascending jet flow with the incoming main gas flow). As a result of comparative analysis, the pressure ratios for which a clear pattern of additional horn vortices is observed near the wall in the region behind the jet, have been determined. The dependence of the slope of the bow shock on the pressure ratio has been plotted. It is found that the pressure distribution at the wall in front of the jet in the symmetry plane is in satisfactory agreement with experimental data. © 2019, Pleiades Publishing, Ltd.	@article{article, author = {Beketaeva, A. and Bruel, Pascal and Naimanova, A.}, year = {2019}, month = {10}, pages = {1430-1440}, title = {Detailed Comparative Analysis of Interaction of a Supersonic Flow with a Transverse Gas Jet at High Pressure Ratios}, volume = {64}, journal = {Technical Physics}, doi = {10.1134/S1063784219100049} }

59.	Numerical heat transfer simulation of solar-geothermal hybrid source heat pump in Kazakhstan climates	DOI: http://bcc.bas.bg/BCC_Volumes/Volume_50_Special_G_2018/50G_PD_7-13.56.pdf (SJR 0,18 ; Q4, Procentile 15 (General Chemistry)).	ABSTRACT : A numerical energy balance model has been proposed in this work for predicting the thermal performances of solar-geothermal hybrid source heat pumps in winter climates of Kazakhstan. The numerical simulation was performed for the year round continental climate conditions. The energy balance model has been developed based on first law of thermodynamics. The proposed heat pump configuration is working in solar mode during sunshine hours and geothermal model during off sunshine hours. Moreover, the system is operating in solar-geothermal hybrid model to meet the evaporator load during insufficient availability of solar and geothermal sources. The energy performance comparison between conventional geothermal source and solar-ground hybrid source heat pump configurations has been made. The influences of solar intensity, ambient temperature, heat pump operating temperatures are discussed. © 2018 Bulgarian Academy of Sciences.	Saktashova G., Aliuly A., Belyayev Ye., Mohanraj M., Singh R.M. ,Numerical heat transfer simulation of solar-geothermal hybrid source heat pump in Kazakhstan climates. //Bulgarian Chemical Communications. – 2018. – Vol.50. – P.7-13 DOI: http://bcc.bas.bg/BCC_Volumes/Volume_50_Special_G_2018/50G_PD_7-13.56.pdf
60.	Research and developments on solar assisted compression heat pump systems – A comprehensive review (Part A: Modeling and modifications)	DOI: https://doi.org/10.1016/j.rser.2017.08.022 (SJR 3,52 ; Q1, Procentile 97 (Renewable Energy, Sustainability and the Environment)).	This paper presents a comprehensive review on research and developments on solar assisted compression heat pump systems, mostly reported during the last two decades. The first part of this paper provides a detailed description of the past efforts on various system configurations, system modeling, enhancement of system performance, modifications in compression heat pump cycles and environment friendly refrigerant options for solar assisted compression heat pump systems. The economical and environmental impacts of solar assisted compression heat pump systems are also described. Further research needs in this important field of solar assisted compression heat pump are listed. The outcomes of this review confirm that, there is a lot of research scope for improving the performance of the system and reducing its initial cost to make it competitive in the global market. The information presented in this paper is shall be highly beneficial for the active researchers working presently on solar assisted compression heat pumps.	M.Mohanraj , Ye.Belyayev, S.Jayaraj, A.Kaltayev , Numerical heat transfer simulation of solar-geothermal hybrid source heat pump in Kazakhstan climates. //Renewable and Sustainable Energy Reviews. – 2018. – Vol.83. – P.90-123 DOI: https://doi.org/10.1016/j.rser.2017.08.022
61.	Dynamics of orthogonal mechanism of vibrating table in view of friction	DOI: 10.1007/978-3-319-60702-3_27 (SJR 0,16; Q4, Procentile 23(Engineering Mechanical Engineering) 18(Engineering Mechanics of Materials)).	The article deals with dynamics of orthogonal mechanism of vibrating table in view of friction. The emphasis is placed on the influence of friction on the oscillatory motion of the mechanism at its interaction with non-ideal energy source. As a result of analysis of numerical solutions of nonlinear motion equation has been determined that the coefficient of sliding friction affects the average angular speed of the driving link, and at that its growth in the first half cycle, when the vibrating table moves upward will cause reduction of the average angular speed, but in the second half-cycle, conversely, will cause increase of this value of angular speed. A coefficient of rolling friction influences on the vibration amplitude of the angular speed of the driving link: with its increasing the amplitude of vibrations increases. Therefore, sliding friction may affect the coefficient of non-uniformity of rotation in two ways, i.e. one half cycle of the mechanism rotation can reduce it and increase it in the other half cycle, and only rolling friction destabilizing effect has been found. © Springer International Publishing AG 2018.	Iskakov Z.,Bissembayev K.,Jamalov N., Dynamics of orthogonal mechanism of vibrating table in view of friction. //Mechanisms and Machine Science. – 2018. – Vol.52. – P.261-268 DOI: 10.1007/978-3-319-60702-3_27
62.	The nonlinear vibrations of orthogonal mechanism of vibrating table in view of friction	DOI: 10.5194/ms-9-307-2018 (SJR 0,31; Q2, Procentile 52(Engineering Industrial and Manufacturing Engineering) 50(Engineering Mechanical Engineering) 48(Engineering Civil and Structural Engineering) 48(Chemical Engineering Fluid Flow and Transfer Processes) 46(Engineering Mechanics of Materials) 45(Engineering Control and Systems Engineering)).	In dynamics of the orthogonal mechanism of vibrating table main attention is paid to the effect of friction on vibrational proceß when it is interacting with non-ideal energy source. As a result of analysis of numerical solutions of nonlinear equation of motion, it is established that in general, for the period of rotation, both sliding friction and rotational friction increase the difference between the maximum and minimum angular velocity values of the driving link (engine shaft) when its average value is constant; both increase the coefficient of non-uniformity of rotation. When there is a cargo of significant maß in the working link, the effect of sliding friction impacts more on the amplitude and frequency of the angular velocity oscillations of the driving link (engine shaft) and on the frequency of the coordinate changes, as well as on the frequencies and maximum and minimum values of the projections of the velocity and acceleration of the hinge linking the work platform to coupler. Similarly, the larger of the load maß, the stronger the effect of rotational friction on the amplitude and frequency of angular velocity oscillations of the driving link (engine shaft). © Author(s) 2018.	Iskakov Z.,Bissembayev K.,Jamalov N., The nonlinear vibrations of orthogonal mechanism of vibrating table in view of friction. //Mechanical Sciences. – 2018. – Vol.9. – P.307-325 DOI: 10.5194/ms-9-307-2018
63.	Analysis of manipulator grains for overloading large-sized goods in the sewing industry	DOI: https://ttp.ivgpu.com/ (SJR 0,2 ; Q3, Procentile 17(Materials Science Polymers and Plastics) 17(Business, Management and Accounting General Business, Management and Accounting) 16(Engineering Industrial and Manufacturing Engineering) ).	The paper examines the gripper scheme of the manipulator for reloading bulky goods in the garment industry. Grips with a circuit of rods and with cable drives are studied. The results of static calculations for the gripper with pneumatic drive and calculations for strength and rigidity for the three-phalanx adaptive gripper are given. In the garment industry for the reloading of large-sized cargoes, the use of robot manipulators is complicated by the lack of reliable grippers. To fill this problem, two grasping schemes are proposed in this paper. Some calculations of these two grasp-ing schemes developed by the authors are given. The drive of the first gripper is pneumatic, and the second one is based on flexible traction elements. © 2018 Ivanovo State University of Chemistry and Technology. All rights reserved.	Usenbekov Z.H.,Temirbekov E.S.,Kaimov S.T.,Karasaev B.A.,Kandidat M., Analysis of manipulator grains for overloading large-sized goods in the sewing industry. //Izvestiya Vysshikh Uchebnykh Zavedenii, Seriya Teknologiya Tekstil'noi Promyshlennosti. – 2018. – Vol.378. – P.332-336 DOI: https://ttp.ivgpu.com/
64.	Numerical heat transfer simulation of solar-geothermal hybrid source heat pump in Kazakhstan climates	DOI: http://www.bcc.bas.bg/BCC_Volumes/Volume_50_Special_G_2018/50G_PD_7-13.56.pdf (SJR 0,18; Q4, Procentile 15 (General Chemistry)).	A numerical energy balance model has been proposed in this work for predicting the thermal performances of solar-geothermal hybrid source heat pumps in winter climates of Kazakhstan. The numerical simulation was performed for the year round continental climate conditions. The energy balance model has been developed based on first law of thermodynamics. The proposed heat pump configuration is working in solar mode during sunshine hours and geothermal model during off sunshine hours. Moreover, the system is operating in solar-geothermal hybrid model to meet the evaporator load during insufficient availability of solar and geothermal sources. The energy performance comparison between conventional geothermal source and solar-ground hybrid source heat pump configurations has been made. The influences of solar intensity, ambient temperature, heat pump operating temperatures are discussed. © 2018 Bulgarian Academy of Sciences.	Saktashova G.,Aliuly A.,Belyayev Ye.,Mohanraj M.,Singh R.M., Numerical heat transfer simulation of solar-geothermal hybrid source heat pump in Kazakhstan climates. //*Bulgarian Chemical Communications*. – 2018. – Vol.50. – P.7-13 DOI: http://www.bcc.bas.bg/BCC_Volumes/Volume_50_Special_G_2018/50G_PD_7-13.56.pdf
65.	Identification of productive horizons of hydrocarbon deposits along spatial models of the structure and geomechanical state of the upper part of the earth's crust	DOI: 0.5593/sgem2018/1.4/S06.062 (SJR 0,22; Q, Procentile 17(Earth and Planetary Sciences Geotechnical Engineering and Engineering Geology) 15(Earth and Planetary Sciences Geology) ).	Modern ideas about the formation of hydrocarbon deposits are based on the results of experimental and theoretical studies of the lithosphere dynamics. They are based on the established facts of the "instability of fluid systems in the sedimentary cover and foundation, as well as the migration of fluids through the permeable zones resulting from the varying stresses in the earth's crust". It follows that the geological environment is non equilibrium. Forces of external influence and thermodynamic conditions inside the crust promote the extrusion of fluids from the lower horizons to the upper horizons and ensure their movement through the zones of decompaction to the places of discharge, which are often the near-fault zones limited by fluid. The developed technology makes it possible to identify horizons in the context of the geological environment with which hydrocarbon accumulations can be associated, visualize their position in space and, thus, create a basis for the design of the location of wells and solve several problems: a) Obtain a clear spatial representation of the properties of the geological environment. In particular, the provisions of reservoirs supplying hydrocarbon migration channels, detection of new zones of increased permeability; b) According to the distribution of the parameters of the stress-strain state, it is possible to obtain a spatial representation of the direction of migration of the fluid flows; c) The notion of the morphology of productive horizons provides a basis for designing wells and allows conclusions about the possible location of new deposits; d) The proposed methodology can be used as one of the stages of prospecting and exploration of hydrocarbon deposits on the projected areas in order to identify productive horizons in the crustal section and to assess the possible direction of fluid flows in the block under study;. © SGEM2018.	Zhantayev Z.,Iskakov B.,Fremd A., Bibossinov A., Identification of productive horizons of hydrocarbon deposits along spatial models of the structure and geomechanical state of the upper part of the earth's crust. //*International Multidisciplinary Scientific GeoConference Surveying Geology and Mining Ecology Management, SGEM*. – 2018. – Vol.18. – P.467-474 DOI: 0.5593/sgem2018/1.4/S06.062
66.	GPS-derived velocity fields of northern tien shan from permanent stations in Kazakhstan	DOI: 10.1109/IGARSS.2018.8518103 (SJR 0,26; Q, Procentile 34(Earth and Planetary Sciences General Earth and Planetary Sciences) 22(Computer Science Computer Science Applications)).	This study presents and analyzed the data on GPS observations from 10 permanent stations located in the Northern Tien Shan, Kazakhstan. Analyzed data covers the 6 years, for the period of 2009-2015, which is acceptable for the geodynamic analysis. This investigation based on well-established processing method with GAMIT/GLOBK software package. The velocity field and motion rates of GPS sites were analyzed in the study. All stations showed northwest velocity field with the rate of 2 -7 mm per year. Motion rates of GPS sites across the Northern Tien Shan decrease northwestward in gradual way. The speeds and directions of the vector fields in South-eastern Kazakhstan do not contrary with modern concepts of regional geodynamics and crustal deformation rates. © 2018 IEEE	Zhantayev Z.,Kaldybayev A.,Bibossinov A., Vilyaev A.,Turgumbayev A.,Nurakynov S ,GPS-derived velocity fields of northern tien shan from permanent stations in Kazakhstan. //International Geoscience and Remote Sensing Symposium (IGARSS). – 2018. – Vol.2018-July. – P.3189-3191 DOI:10.1109/IGARSS.2018.8518103
67.	Determination of dissipative parameters of crank press	DOI: 10.32014/2018.2518-170X.40 (SJR 0,32; Q3, Procentile 40(Earth and Planetary Sciences-Geology) 37(Earth and Planetary Sciences - Geotechnical Engineering and Engineering Geology) ).	The paper considers the determination of the dissipation coefficients of the crank press's assemblies (units). Slide-crank mechanism of the press performs stamping of various parts. In such a case, there are significant dynamic loads in the assemblies and connections of the press. Work features of the crank press are connected with shock cyclic loads. Dynamic research of crank presses, at present, is a critical task. Dynamic model of the crank press is represented as an oscillatory system with many degrees of freedom. The dynamic model of the crank press consists of lumped masses connected by elastic-dissipative elements. To calculate the dynamic model of the crank press, it is required to determine dissipation coefficients of individual sections of the drive shaft. Determination of the dissipation coefficients is of great complexity. In the case of vibrations of elastic systems, energy is dissipated in machine paits and mechanical energy is transferred into thermal. Losses of mechanical energy are caused by forces of inelastic resistance, called dissipative forces. The amplitudes of the resonance oscillations, the conditions for the excitation of parametric oscillations and self-oscillations depend on the dissipation coefficients. The determination of dissipative coefficients is based on available information on the dissipation coefficients of individual elastic- dissipative elements of the system. An example is given for determining the coefficients of dissipation of the crank press. The dynamic model of the crank press was compiled on the program complex SimulationX. The obtained results show that the dynamics of oscillations of the drive shaft of the crank press changes significantly after adjustment of the coefficients of dissipation. © 2018, National Academy of Sciences of the Republic of Kazakhstan. All rights reserved.	Tuleshov А.K.,Jomartov А.А., Determination of dissipative parameters of crank press. //News of the National Academy of Sciences of the Republic of Kazakhstan, Series of Geology and Technical Sciences. – 2018. – Vol.6. – P.102-109 DOI: 10.32014/2018.2518-170X.40
68.	Vector method for kinetostatic analysis of planar linkages	DOI: 10.1007/s40430-018-1022-y (SJR 0,43; Q2, Procentile 74(Mathematics Applied Mathematics) 73(Engineering General Engineering) 71(Engineering Automotive Engineering) 68(Engineering Aerospace Engineering) 65(Engineering Industrial and Manufacturing Engineering) 64(Engineering Mechanical Engineering) ).	The article reviews the vector method of solving one of the important problems of the dynamic analysis of planar linkages—the kinetostatic analysis, which is to determine the reactions in kinematic pairs and to balance the moment (force) on the driving medium with a given law of motion of the mechanism. This problem is of great practical value when choosing the electric motor and calculating bearings in kinematic pairs. Proposed quality criteria for an optimal kinematic synthesis of linkage mechanism depend only on the geometrical dimensions and are independent of the forces and moments applied to the linkages. © 2018, The Brazilian Society of Mechanical Sciences and Engineering.	Jomartov A.,Tuleshov A.,Vector method for kinetostatic analysis of planar linkages. //Journal of the Brazilian Society of Mechanical Sciences and Engineering. – 2018. – Vol.40. DOI: 10.1007/s40430-018-1022-y
69.	The model of a transition region with smoothness conditions of the second order	DOI: 10.1063/1.5049032 (SJR 0,18; Procentile 17(Physics and Astronomy General Physics and Astronomy)).	We consider, a problem of determining the position of the conjugate points of a combined trajectory, ensuring the conditions of tangency, continuity, and equality of the radius of curvature. When the arcs of a circular and elliptical trajectory are conjugated at the junction where, there is a common tangent, a jump in the centrifugal force occurs due to the inequality of the radii of curvature, which will lead to a shock / 1-2 /. © 2018 Author(s).	Bostanov B.O.,Temirbekov E.S.,,Matin D.T , The model of a transition region with smoothness conditions of the second ordert. //AIP Conference Proceedings. – 2018. – Vol.1997. DOI: 10.1063/1.5049032
70.	Noise resistance processing of speech signals	DOI: 10.1109/EIConRus.2018.8317301 (SJR 0,87; Procentile 68).	This article presents a new superior noise resistance method for processing speech signals. The proposed method of processing is based on adaptive sequential filtering. The presented results of processing speech signals demonstrate an increase in the quantitative parameters of noise resistance and reduction of errors in the detection of speech signals. The reliability of the obtained processing results is confirmed by cluster analysis. © 2018 IEEE.	Zhumasheva Z.T..Altay Y.A.,Kremlev A.S, Noise resistance processing of speech signals. //Proceedings of the 2018 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering, ElConRus 2018. – 2018.– P.1180-1185 DOI: 10.1109/EIConRus.2018.8317301
71.	Synthesis of Reconfigurable Positioning Parallel Manipulator of a Class RoboMech	DOI: 10.1109/REMAR.2018.8449852 (SJR 1,95; Procentile 87).	In this paper the methods of structural and dimensional synthesis of reconfigurable positioning parallel manipulator of a class RoboMech are presented. These parallel manipulators are formed by connecting the output point to the base by three closed kinematic chains: passive, active and negative. Parameters of synthesis of the active and negative closed kinematic chains are determined on the basis of the formulated Chebyshev and least-square approximations. © 2018 IEEE.	Baigunchekov Z.,Ibrayev S.,Izmambetov M.,Zhumasheva Z.,Baigunchekov T., Naurushev B.,Mustafa A.,Sagyntay M. Synthesis of Reconfigurable Positioning Parallel Manipulator of a Class RoboMech. //2018 International Conference on Reconfigurable Mechanisms and Robots, ReMAR 2018 - Proceedings. – 2018. DOI: 10.1109/REMAR.2018.8449852
72.	Thermal Performance Simulation of a Heat Pump Assisted Solar Desalination System for Kazakhstan Climatic Conditions	DOI: 110.1080/01457632.2018.1451246 (SJR 0,18;Q4, Procentile 15 (General Chemistry)).	A numerical model has been proposed in this research work for predicting the energy performance of a heat pump assisted regenerative solar still using phase change heat storage materials such as paraffin wax and hydrate salt. The numerical model is based on energy and mass balance. The performance was simulated for Fort Sherchenko town in Kazakhstan. The performance comparison between the conventional solar still and heat pump assisted regenerative solar still with and without phase change materials are presented. Moreover, the influence of two different phase change materials on thermal performance of a heat pump assisted regenerative solar still are described. The numerical simulation results showed that heat pump assisted regenerative solar still is more energy efficient and produces better productivity when compared to the conventional simple solar still. The use of hydrate salt phase change heat storage material was found to be a good option for enhancing the performance of a heat pump assisted regenerative solar still. © 2018, © 2018 Taylor & Francis Group, LLC.	Belyayev, Y., Mohanraj, M., Jayaraj, S., Kaltayev, A., Thermal Performance Simulation of a Heat Pump Assisted Solar Desalination System for Kazakhstan Climatic Conditions. //Heat Transfer Engineerings. – 2019. – Vol.40. – P.1060-1072 DOI: 10.1080/01457632.2018.1451246
73.	Numerical simulation of a heat pump assisted solar dryer for continental climates	DOI: 10.1016/j.renene.2019.04.119 (SJR 1,83;Q1, Procentile 88 (Renewable Energy, Sustainability and the Environment)).	A numerical model has been proposed in this work for predicting the energy performance of a heat pump assisted solar dryer under continental climates. The model is based on energy and mass balance. The energy performance comparison between heat pump dryer, solar dryer and heat pump assisted solar dryer are presented. The simulation was performed for four different climatic conditions of Almaty city in Kazakhstan. The simulation results showed that, the heat pump assisted solar dryer is more energy efficient when compared to the conventional solar dryers. It is also confirmed that, the conventional solar dryers are not suitable for continental climatic conditions having low ambient temperatures. The heat pump dryer reduces the initial moisture content of banana (on wet basis) from about 74% to the final moisture content (on wet basis) of about 19% in 21 h. Similarly, the solar dryer reduces the initial moisture content (wet basis) from about 74% to the final moisture content (wet basis) of about 20% in 35 h. The specific moisture extraction rate and coefficient of performance of a heat pump assisted solar dryer are estimated to be about 0.6 kg/kWh and 2.72, respectively. © 2019 Elsevier Ltd	Kuan M.,Shakir Y.,Mohanraj M.,Belyayev Y.,Jayaraj S.,Kaltayev A.,Numerical simulation of a heat pump assisted solar dryer for continental climates. //Renewable Energy. – 2019. – Vol.143. – P.214-225 DOI: 10.1016/j.renene.2019.04.119
74.	Stabilization of the movement of a small spacecraft in a geostationary orbit	DOI: 0.32014/2019.2518-170X.162 (SJR 0,32;Q3 Procentile 40(Earth and Planetary Sciences-Geology) 37(Earth and Planetary Sciences - Geotechnical Engineering and Engineering Geology)).	A system for controlling the movement of a small spacecraft, which will later be part of a formation located in the geostationary orbit for the remote sensing of the Earth is being considered. The article assesses the effect of acting moments on the small spacecraft in the geostationary orbit and justifies the choice of these moments in the motion simulation. A motion control system for small spacecraft in the geostationary orbit using a P-controller (a controller with a proportional control law) is proposed. The results of the simulation to verify the correctness of the proposed control law are given.	Rakisheva, Z.B., Nakasuka, S., Doszhan, N.S., Ibrayev, G.E.,Stabilization of the movement of a small spacecraft in a geostationary orbit. //News of the National Academy of Sciences of the Republic of Kazakhstan, Series of Geology and Technical Sciences. – 2019. – Vol.6. – P.112-120 DOI:10.32014/2019.2518-170X.162
75.	Optimization Issues in the Problem of Small Satellite Attitude Determination and Control	DOI: 10.1007/978-3-030-10501-3_14 (SJR 0,52;Q2 Procentile 17(Mathematics - Control and Optimization)).	The problems of synthesis of attitude determination and control system of small satellites regarding the influence of external perturbations due to their small mass and restrictions in using high-precision actuators, due to the limitations of energy budget and construction, are considered. The solutions to this problem are proposed involving the development of high-accuracy algorithms for satellite attitude determination and control, using the minimum set of sensors, various types of actuators, and optimization principles.	Rakisheva, Z., Sukhenko, A., Kaliyeva, N., Optimization Issues in the Problem of Small Satellite Attitude Determination and Control. //Springer Optimization and Its Applications,. – 2019. – Vol.144. – P.373-393 DOI: 10.1007/978-3-030-10501-3_14
76.	Spatial variations in the caspian sea wave climate in 2002–2013 from satellite altimetry	DOI: 10.3176/earth.2019.16 (SJR 0,34;Q3, Procentile 44(Earth and Planetary Sciences -General Earth and Planetary Sciences) 38(Environmental Science - Water Science and Technology)).	The core properties of the wave climate and its changes in the Caspian Sea are established in terms of the annual mean significant wave height and its regional changes in 2002–2013 based on the outcome of the satellite altimetry mission JASON-1. Remotely estimated wave heights are validated against properties of the empirical distribution of instrumentally measured wave heights in the southern Caspian Sea and monthly averages of visually observed wave heights at three locations. A correction for systematic differences leads to very good correspondence between monthly averaged in situ and satellite data with a typical root mean square difference of 0.06 m. The average significant wave height in the Caspian Sea is 0.5–0.7 m in the northern basin of the sea, around 1.2 m in large parts of the central and southern basins and reaches up to 1.8 m in the northern segment of the central basin. The basin-wide average wave intensity varied insignificantly in the range of 1.02–1.14 m in 2002–2013. These estimates overestimate the wave heights by about 30% because low wave conditions are ignored. Substantial and statistically significant changes in the wave height occurred in certain areas. The wave height decreased by 0.019 ± 0.007 m/yr in the eastern segment of the central basin and by 0.04 ± 0.04 m/yr in the western segment of the southern basin. These changes can be explained by an increase in the frequency of westerly winds at the expence of southerly winds. Both basin-wide and regional extreme wave heights exhibit large interannual variations but do not show any significant trend. The patterns of changes in mean and extreme wave height are different. The average wave height has increased while the extreme wave height has decreased in the eastern segment of the southern basin. © 2019 Authors.	Kudryavtseva N.,Kussembayeva K.,Rakisheva Z.B.,Soomere T., Spatial variations in the caspian sea wave climate in 2002–2013 from satellite altimetry. //Estonian Journal of Earth Sciences. – 2019. – Vol.68. – P.225-240 DOI: 10.3176/earth.2019.16
77.	Optimal structural synthesis of agricultural legged robot with minimal damage on soil	DOI: 10.1051/e3sconf/201913501027 (SJR 0,2; Procentile 25(Energy General Energy) 20(Environmental Science General Environmental Science) 19(Earth and Planetary Sciences General Earth and Planetary Sciences)).	Optimal structural synthesis of agricultural legged robot is carried out, that causes minimal damage on soil and provide the most favorable conditions for plant growth. A rational structure of a legged robot with orthogonal propel based on kinematic decoupling of the motion is proposed. Most of traditionally used walking robots have universal "insect type" structure with multiple actuators to be synchronized which result in complex control. The alternative design is realizing a concept of functional independence of the actuators when each actuator is responsible for specified purpose: the main actuators are responsible for rectilinear translational motion of cabine/chassis whereas another group of actuators are responsible for adaptation purposes and anothers participate in turning/maneuvering. This allows to carry out the cabine/hull shifting and turning with a minimum number of actuators and simplified control. A new kinematic equivalent scheme of turning mechanism was proposed in order to optimize turning modes of the robot. The proposed planar model allows to determine the optimal parameters of the robot by applying multicriteria synthesis methods of parallel robot manipulators based on isotropy, maneuverability and other criteria. © The Authors, published by EDP Sciences, 2019.	Ibrayev S.,Jamalov N.,Ibrayeva A.,Mukhambetkaliyeva G., Optimal structural synthesis of agricultural legged robot with minimal damage on soil. //E3S Web of Conferences. – 2019. – Vol.135. DOI: 10.1051/e3sconf/201913501027
78.	[A comprehensive study to evaluate absolute uptake of carbon dioxide adsorption onto composite adsorbent] [Une étude complète visant à mesurer l'absorption absolue de dioxyde de carbone sur un adsorbant composite]	DOI: 10.1016/j.ijrefrig.2019.01.014 (SJR 1.5; Q1 , Procentile 90(Engineering Building and Construction) 88(Engineering Mechanical Engineering)).	In this study, new composite adsorbent with enhanced thermal conductivity and adsorption capacity was synthesized and analyzed comprehensively for the development of compact CO 2 based adsorption cooling system. The consolidated composite was prepared employing activated carbon, graphene nanoplatelets and hydroxyl cellulose as a parent adsorbent, thermal conductivity enhancer, and binder, respectively. The surface area and pore volume of the composite were found to be 1778 ± 13 m 2 g −1 and 1.014 cm 3 g −1 , respectively. In addition, the composite showed 233% higher thermal conductivity compared to the parent activated carbon. Adsorption characteristics of CO 2 were measured at temperature ranging from 20 to 70 °C and pressures up to 5 MPa. Absolute uptake was evaluated from excess adsorption based on the following two methods: (i) the adsorbed phase volume is equal to the pore volume of the adsorbent; and (ii) the adsorbed phase volume is almost zero under low pressure and/or high temperature conditions. Furthermore, the averaging of above two methods was also taken for avoiding these two extreme assumptions. Obtained absolute adsorption uptake data were fitted with modified Dubinin-Astakhov and Tóth models. Results indicated good approximation between data points and models. The average isosteric heats of adsorption estimated using modified D-A and Tóth model were found to be 19.742 kJ mol −1 and 19.023 kJ mol −1 , respectively. The obtained characteristics of composite adsorbent are prerequisites for designing compact CO 2 based adsorption cooling systems. © 2019 Elsevier Ltd and IIR	Berdenova B.,Pal A.,Muttakin M.,Mitra S.,Thu K.,Saha B.B.,Kaltayev A., A comprehensive study to evaluate absolute uptake of carbon dioxide adsorption onto composite adsorbent. //International Journal of Refrigerations. – 2019. – Vol.100. – P.131-140 DOI: 10.1016/j.ijrefrig.2019.01.014
79.	Grasps of robot manipulator when overloading solid high-radioactive elements and their calculation	DOI: 10.1007/978-3-030-03320-0_34 (SJR 0,16;Q4, Procentile\ 23(Engineering Mechanical Engineering) 18(Engineering Mechanics of Materials) ).	In this paper considers the problem of simulating two grasping schemes of the robot manipulator, created by the authors for the overload of solid highly radioactive waste of fuel elements. Two schemes, previously proposed by the authors as grasps, are investigated. One - rod, the second - innovative with flexible actuators. For the grasps considered, some results are given: Static calculations for flat grasping models; 3D models of grasp; the strength and rigidity of one 3D model are calculated. © Springer Nature Switzerland AG 2019	Temirbekov E.S.,Kaiym T.T.,Ceccarelli M., Bostanov B.O.,Kaimov S.T.,Kaimov A.T. Grasps of robot manipulator when overloading solid high-radioactive elements and their calculation. //Mechanisms and Machine Sciences. – 2019. – Vol.68. – P.316-323 DOI: 10.1007/978-3-030-03320-0_34
80.	Combined trajectory of continuous curvature	DOI: 10.1007/978-3-030-03320-0_2 (SJR 0,16;Q4, Procentile\ 23(Engineering Mechanical Engineering) 18(Engineering Mechanics of Materials) ).	The problem of creating a smooth combined trajectory and determining the position of the connection points ensuring the conditions of tangency, continuity and equality of the radius of curvature are considered. When the circular and conical arcs are conjoined at the junction point, there are nonsmoothness, there is a jump in the centrifugal force due to the inequality of the radii of curvature, which will lead to a strike. A method is used to insert a transitional section, the model of which is a conic, in order to exclude the undesirable impact effect. There are known methods of continuous, smooth connection of trajectories, which include contours, splines. The condition of equality of the radii of curvature is not fulfilled at such conjugations of these curves at the junction point. The mathematical condition of unstressed connection of trajectories is established. You can define the final connection point by specifying the starting point of the connection and using the condition of the unstressed connection. The proposed method allows to design complex technical forms and create on their basis new models of a smooth trajectory from conical arcs. © Springer Nature Switzerland AG 2019	Temirbekov E.S.,Bostanov B.O.,Dudkin M.V.,Kaimov S.T.,Kaimov A.T., Combined trajectory of continuous curvature. //Mechanisms and Machine Sciences. – 2019. – Vol.68. – P.12-19 DOI: 10.1007/978-3-030-03320-0_2
81.	A gripper mechanism to automate overload process for fuel elements	DOI: 10.1007/978-3-030-00365-4_15 (SJR 0,16;Q4 Procentile 23(Engineering Mechanical Engineering) 18(Engineering Mechanics of Materials)).	The paper reviews new and innovative ways to overload fuel elements of the intermediate container of solid high level radioactive waste into the cavity of the main container made from a strong block of rock, the implementation of which is planned to be performed with the use of innovative design gripper of the gripper of the manipulator of an industrial robot. Also reported main requirements for the functioning of a gripper and calculations. © 2019, Springer Nature Switzerland AG.	Kaimov S.,Kaimov A.T.,Ceccarelli M., Kaiym T.,Kaimova G.,Jomartov A.,Temirbekov E., A gripper mechanism to automate overload process for fuel elements. //Mechanisms and Machine Science. – 2019. – Vol.66. – P.118-128 DOI: 10.1007/978-3-030-00365-4_15
82.	Computer modeling of residual stresses and strains at arc welding by modulated current	DOI: 10.1007/978-3-319-95630-5_265 (SJR 0,15.Q4; Procentile 17(Engineering Aerospace Engineering) 17(Engineering Mechanical Engineering) 15(Engineering Automotive Engineering) 13(Chemical Engineering Fluid Flow and Transfer Processes) ).	The article reviews the investigations of forming residual stresses and strains at arc welding by the modulated current. The maintenance of a favorable thermal cycle in a zone (that is close to a joint) is very important at welding many metals and their fusions. By changing a thermal cycle it is possible to reduce a grain value, to achieve a minimal speed of increasing elastoplastic strains in a zone of high temperature, to control a cooling rate and thus to receive favorable structures in a zone near to a joint. The numerical modeling of thermo-deformation processes of thin plates at arc welding by the modulated current is suggested in the paper. The complex of investigations depends on various technological parameters. The comparison of the received calculation data with experimental data has shown the acceptability of the positions and suppositions accepted in the design model. © 2019, Springer Nature Switzerland AG.	Nurguzhin M.,Danenova G.,Akhmetzhanov T., Computer modeling of residual stresses and strains at arc welding by modulated current. //Lecture Notes in Mechanical Engineering. – 2019. – Vol.0. – P.2453-2460 DOI: 10.1007/978-3-319-95630-5_265
83.	Optimization Issues in the Problem of Small Satellite Attitude Determination and Control	DOI: 10.1007/978-3-030-10501-3_14 (SJR 0,52;Q2, Procentile 17(Mathematics Control and Optimization)).	The problems of synthesis of attitude determination and control system of small satellites regarding the influence of external perturbations due to their small mass and restrictions in using high-precision actuators, due to the limitations of energy budget and construction, are considered. The solutions to this problem are proposed involving the development of high-accuracy algorithms for satellite attitude determination and control, using the minimum set of sensors, various types of actuators, and optimization principles. © 2019, Springer Nature Switzerland AG.	Rakisheva Z.,Sukhenko A.,Kaliyeva N., Optimization Issues in the Problem of Small Satellite Attitude Determination and ControlDetermination of dissipative parameters of crank press. //Springer Optimization and Its Applicationss. – 2019. – Vol.144. – P.373-393 DOI: 10.1007/978-3-030-10501-3_14
84.	Designing of a Crank press on the Basis of High Class Planar Linkages	DOI: 10.1007/978-3-030-20131-9_298 (SJR 0,16;Q4, Procentile 23(Engineering Mechanical Engineering) 18(Engineering Mechanics of Materials) ).	Currently, crank presses based on planar linkages received prevalence for presswork. One of the major problems of these presses is skewness of slide caused by eccentric application of deforming force and total linear elastic deformation of the press links and stamps under load. The skewness of the slide of the crank press reduces the accuracy of punching and causes its jamming and lead to its breakage. To eliminate these problems, it is proposed to use high-class planar linkages to design crank presses in the work. Schemes of planar linkages of class IV for designing of new crank presses were obtained. A new crank press was synthesized on the basis of planar linkages of class IV and its prototype was made. The tests of the prototype of the new crank press were carried out. © 2019, Springer Nature Switzerland AG.	Tuleshov А.K.,Jomartov А.А., Kuatova M.,Designing of a Crank press on the Basis of High Class Planar Linkagess. //Mechanisms and Machine Science. – 2019. – Vol.73. – P.3027-3036 DOI: 10.1007/978-3-030-20131-9_298
85.	Modeling dynamics of planetary gears of crank press on simulationx	DOI: 10.1007/978-3-030-03320-0_5 (SJR 0,16;Q4, Procentile 23(Engineering Mechanical Engineering) 18(Engineering Mechanics of Materials) ).	The paper investigates the dynamics of a planetary gear of crank press. Currently, dynamic research of planetary gear of crank presses with account for elasticity of links, friction and backlashes, is a critical task. Dynamics of planetary gear of crank presses is well simulated on a software package SimulationX, with the help of universal basic structures. The paper shows that the dynamics of planetary mechanism with account for backlashes essentially differs from the dynamics of the ideal mechanism. The maximum acceleration of the carrier, when taking into account the backlashes in bearings of gears of the planetary gears of the crank press, increases by 30%. © Springer Nature Switzerland AG 2019	Tuleshov А.K.,Jomartov А.А., Modeling dynamics of planetary gears of crank press on simulationx. //Mechanisms and Machine Science. – 2019. – Vol.68. – P.41-48 DOI: 10.1007/978-3-030-03320-0_5
86.	Analysis of the oscillating motion of a solid body on vibrating bearers	DOI: 10.3390/MACHINES7030058 (SJR 0,39;Q2 Procentile 83(Computer Science Computer Science (miscellaneous)) 82(Mathematics Control and Optimization) 77(Engineering Mechanical Engineering) 76(Engineering Industrial and Manufacturing Engineering) 72(Engineering Electrical and Electronic Engineering) 71(Engineering Control and Systems Engineering) ).	This article considers the oscillation of a solid body on kinematic foundations, the main elements of which are rolling bearers bounded by high-order surfaces of rotation at horizontal displacement of the foundation. Equations of motion of the vibro-protected body have been obtained. It is ascertained that the obtained equations of motion are highly nonlinear differential equations. Stationary and transitional modes of the oscillatory process of the system have been investigated. It is determined that several stationary regimes of the oscillatory process exist. Equations of motion have been investigated also by quantitative methods. In this paper the cumulative curves in the phase plane are plotted, a qualitative analysis for singular points and a study of them for stability are performed. In the Hayashi plane a cumulative curve of a body protected against vibration forms a closed path which does not tend to the stability of a singular point. This means that the vibration amplitude of a body protected against vibration does not remain constant in a steady state, but changes periodically. © 2019 by the authors.	Bissembayev K.,Jomartov A.,Tuleshov A.,Dikambay T., Analysis of the oscillating motion of a solid body on vibrating bearers. //Machines. – 2019. – Vol.6. – №58 DOI: 10.3390/MACHINES7030058
87.	Dynamic analyses of a clutch of crank press	DOI: 10.32014/2019.2518-170X.132 (SJR 0,32;Q3, Procentile 40(Earth and Planetary Sciences-Geology) 37(Earth and Planetary Sciences - Geotechnical Engineering and Engineering Geology)).	The paper studies the dynamic of a clutch of crank press. At present, the dynamic study of clutch of the crank presses, with account of interaction with other blocks, is a priority. The crank press contains movable parts and assemblies, the mass of which is from one hundred kilograms to several tons. These parts and assemblies are connected cyclically by clutch of crank press with high speeds and they are subject to large dyjnamic loads. To simu- late and analyze the movement of crank press with clutch, a software package: SimulationX is used. SimulationX is a software package for modeling and analyzing the dynamics and kinematics of cars, industrial equipment, electric, pneumatic and hydraulic drives, hybrid engines, etc. As a result of dynamic calculation, important dynamic para- meters of the crank press clutch and working slide are determined. It is shown that dynamic loads sharply increase almost in all blocks of the crank press when the clutch is switched on. © 2019, National Academy of Sciences of the Republic of Kazakhstan. All rights reserved.	Tuleshov A.K.,Jomartov A.A.,Kuatova M.J., Halicioglu R., Dynamic analyses of a clutch of crank press. //News of the National Academy of Sciences of the Republic of Kazakhstan, Series of Geology and Technical Sciences. – 2019. – Vol.5. – P.114-123 DOI: 10.32014/2019.2518-170X.132
88.	Creating the form of a complicated treadmill	DOI: 10.1007/978-3-030-20131-9_38 (SJR 0,16; Q4 , Procentile 23(Engineering Mechanical Engineering) 18(Engineering Mechanics of Materials)).	The problem of creating a smooth complex trajectory and determining the position of the points of connection, providing the conditions of tangency, continuity and equality of the radius of curvature, is considered. When conjugation trajectory in the form of arcs of curves, there are non-smoothness at the junction, a centrifugal force jump occurs due to the inequality of the radii of curvature, which will lead to the impact. Known methods and methods for continuous, smooth connection of trajectories, which include lines, splines, as well as specially designed transition curves, such as a majorant curve, clothoid, elastic line, lemniscate and velocity curve. However, the proposed methods are less accurate and approximate. With such conjugations, the condition of equality of the radii of curvature of these curves at the junction point is not satisfied. To eliminate the undesirable effect of impact, the method of inserting a transition section is used, the model of which is a second-order curve (conic). An original method is proposed for analytically determining a smooth (smooth second order) transition region in the form of a conic. A mathematical condition has been established that ensures a smooth connection without a jump in the radius of curvature. By setting the start point of connection and using mathematical condition for smooth connection can determine the finish point of connection. The process of determining the smoothness of conjugation is proposed to be modeled by a link mechanism. The proposed method makes it possible to construct complex technical forms and to create on their basis new models of a smooth trajectory from arcs of high-order curves with a conical transition section. © 2019, Springer Nature Switzerland AG.	Temirbekov Y.S.,Bostanov B.O.,Karassayev B.A.,Tukeshova G.A Creating the form of a complicated treadmill. //Mechanisms and Machine Science. – 2019. – Vol.73. – P.377-386 DOI: 10.1007/978-3-030-20131-9_38
89.	Mechanics-mathematical model of conjugation of a part of a trajectory with conditions of continuity, touch and smoothness	DOI: 10.1007/978-3-030-12203-4_8 (SJR 0,16; Q4 , Procentile 30(Mathematics General Mathematics) 18(Computer Science General Computer Science)).	Development process of combined trajectories, in places of joining conic arcs, undesirable intermittent effects inevitably arise due to the second-order non-smoothness. A second order tangency is considered taking into account the curvature and the equality condition of the arcs curvature radii to be joined at the conjugation points. A kinematic method for determining joints on the basis of a rocker mechanism is given, which ensures smooth joints. © Springer Nature Switzerland AG 2019.	Bostanov B.O.,Temirbekov E.S., Dudkin M.V.,Kim A.I., Mechanics-mathematical model of conjugation of a part of a trajectory with conditions of continuity, touch and smoothness. //Communications in Computer and Information Science. – 2019. – Vol.998. – P.71-81 DOI: 10.1007/978-3-030-12203-4_8
90.	Grasps of robot manipulator when overloading solid high-radioactive elements and their calculation	DOI: 10.1007/978-3-030-03320-0_34 (SJR 0,16;Q4, Procentile 23(Engineering Mechanical Engineering) 18(Engineering Mechanics of Materials) ).	In this paper considers the problem of simulating two grasping schemes of the robot manipulator, created by the authors for the overload of solid highly radioactive waste of fuel elements. Two schemes, previously proposed by the authors as grasps, are investigated. One - rod, the second - innovative with flexible actuators. For the grasps considered, some results are given: Static calculations for flat grasping models; 3D models of grasp; the strength and rigidity of one 3D model are calculated. © Springer Nature Switzerland AG 2019	Temirbekov E.S.,Kaiym T.T.,Ceccarelli M., Bostanov B.O.,Kaimov S.T.,Kaimov A.T.,Grasps of robot manipulator when overloading solid high-radioactive elements and their calculation. //Mechanisms and Machine Science. – 2019. – Vol.68. – P.316-323 DOI: 10.1007/978-3-030-03320-0_34
91.	Combined trajectory of continuous curvature	DOI: 10.1007/978-3-030-03320-0_2 (SJR 0,16;Q4, Procentile 23(Engineering Mechanical Engineering) 18(Engineering Mechanics of Materials) ).	The problem of creating a smooth combined trajectory and determining the position of the connection points ensuring the conditions of tangency, continuity and equality of the radius of curvature are considered. When the circular and conical arcs are conjoined at the junction point, there are nonsmoothness, there is a jump in the centrifugal force due to the inequality of the radii of curvature, which will lead to a strike. A method is used to insert a transitional section, the model of which is a conic, in order to exclude the undesirable impact effect. There are known methods of continuous, smooth connection of trajectories, which include contours, splines. The condition of equality of the radii of curvature is not fulfilled at such conjugations of these curves at the junction point. The mathematical condition of unstressed connection of trajectories is established. You can define the final connection point by specifying the starting point of the connection and using the condition of the unstressed connection. The proposed method allows to design complex technical forms and create on their basis new models of a smooth trajectory from conical arcs. © Springer Nature Switzerland AG 2019	Temirbekov E.S.,Bostanov B.O.,Dudkin M.V.,Kaimov S.T.,Kaimov A.T., Combined trajectory of continuous curvature. //Mechanisms and Machine Science. – 2019. – Vol.68. – P.12-19 DOI: 10.1007/978-3-030-03320-0_2
92.	A gripper mechanism to automate overload process for fuel elements	DOI: 10.1007/978-3-030-00365-4_15 (SJR 0,16;Q4, Procentile 23(Engineering Mechanical Engineering) 18(Engineering Mechanics of Materials) ).	The paper reviews new and innovative ways to overload fuel elements of the intermediate container of solid high level radioactive waste into the cavity of the main container made from a strong block of rock, the implementation of which is planned to be performed with the use of innovative design gripper of the gripper of the manipulator of an industrial robot. Also reported main requirements for the functioning of a gripper and calculations. © 2019, Springer Nature Switzerland AG.	Kaimov S.,Kaimov A.T.,Ceccarelli M.Kaiym T.,Kaimova G.,Jomartov A.,Temirbekov E., A gripper mechanism to automate overload process for fuel elements. //*Mechanisms and Machine Science*. – 2019. – Vol.66. – P.118-128 DOI: 10.1007/978-3-030-00365-4_15
93.	Parallel manipulator of a class RoboMech for generation of horizontal trajectories family	DOI: 10.1007/978-3-030-20131-9_137 (SJR 0,16;Q4, Procentile 23 (Engineering Mechanical Engineering) 18(Engineering Mechanics of Materials)).	In this paper the methods of structural and dimensional synthesis of parallel manipulator of a class RoboMech for reproducing the series of horizontal trajectories are developed. This parallel manipulator is formed by connecting the output point to the base using two closing kinematic chains: one passive and one active ones. The synthesis parameters of the active closing kinematic chain of RPR type are determined on the basis of the least-square approximation. © 2019, Springer Nature Switzerland AG.	Baigunchekov Z.,Izmambetov M.,Zhumasheva Z.,Baigunchekov T.,Mustafa A.,Parallel manipulator of a class RoboMech for generation of horizontal trajectories family. //*Mechanisms and Machine Science*. – 2019. – Vol.73. – P.1395-1402 DOI: 10.1007/978-3-030-20131-9_137
94.	Numerical simulation on solar collector and cascade heat pump combi water heating systems in Kazakhstan climates	DOI: https://doi.org/10.1016/j.renene.2019.06.102 (SJR 0,83;Q1, Procentile 88 (Renewable Energy, Sustainability and the Environment) ).	At low ambient temperatures, the heating capacity and coefficient of performance of a single stage vapour compression heat pump cycle is significantly getting reduced. The two stage cascade heat pump cycle operating with two different refrigerants provides a sustainable solution to lift the condenser temperature above 343 K. In this work, a numerical simulation model was developed for predicting the performance of a solar collector and two stage cascade heat pump combi water heating systems under Kazakhstan climatic conditions. The numerical simulation was performed for winter climatic conditions using nine refrigerant pairs such as, R32/R290, R32/R1234yf, R32/R134a, R410A/R290, R410A/R1234yf, R410A/R134a, R744/R290, R744/R1234yf and R744/R134a. The influences of solar irradiation, ambient temperature and condenser temperature are discussed. The solar collector and two stage heat pump combi heating system has about 30% energy savings when compared to the conventional two stage cascade heat pump without integration solar collectors. The R32/R290 refrigerant pair is having maximum coefficient of performance of 2.4 at 323 K condensing temperature and 263 K evaporating temperature. The refrigerant R744/R290 pair is identified as an environment friendly sustainable option in terms of its global warming impact for two stage cascade heat pump applications.	Yerdesh, Y., Abdulina, Z., Aliuly, A..Mohanraj, M., Kaltayev, A, Numerical simulation on solar collector and cascade heat pump combi water heating systems in Kazakhstan climates. //Renewable Energy. – 2020. – Vol.145. – P.1222-1234 DOI: https://doi.org/10.1016/j.renene.2019.06.102
95.	A Study of Secular Perturbations of Translational-Rotational Motion in a Nonstationary Two-Body Problem Using Computer Algebra	DOI: 10.1134/S0965542520010054 (SJR 0,53;Q2, Procentile 35(Mathematics - Computational Mathematics) ).	A nonstationary two-body problem is considered such that one of the bodies has a spherically symmetric density distribution and is central, while the other one is a satellite with axisymmetric dynamical structure, shape, and variable oblateness. Newton’s interaction force is characterized by an approximate expression of the force function up to the second harmonic. The body masses vary isotropically at different rates. Equations of motion of the satellite in a relative system of coordinates are derived. The problem is studied by the methods of perturbation theory. Equations of secular perturbations of the translational-rotational motion of the satellite in analogues of Delaunay–Andoyer osculating elements are deduced. All necessary symbolic computations are performed using the Wolfram Mathematica computer algebra system. © 2020, Pleiades Publishing, Ltd.	Bizhanova, S.B., Minglibayev, M.Z., Prokopenya, A.N.,A Study of Secular Perturbations of Translational-Rotational Motion in a Nonstationary Two-Body Problem Using Computer Algebra. //Mechanisms and Machine ScienceComputational Mathematics and Mathematical Physics,. – 2020. – Vol.60. – P.26-35 DOI: 10.1134/S0965542520010054
96.	Numerical calculation of the pressure drop and saturation of two-phase flow through porous medium	DOI: https://doi.org/10.2118/202570-MS (SJR 0, Procentile -).	Two-phase flow through a fibrous porous medium is numerically simulated. The goal of the study is to investigate the effect of numerical slip length on variation of pressure drop and saturation. The simulation is based on the numerical solution of incompressible Navier-Stokes equations for two-phase flow around a circular cylinder with radii in the ranges from 0.1 to 0.4. Variations of pressure drop and saturation in time are numerically calculated on simple and snap meshes for different values of surface tension (σ), viscosity ratio (M = μnw/μw), and mesh sizes. Also, numerical results using simple and snap meshes are compared. Numerical calculations are performed using the interFoam solver in OpenFOAM® finite volume library. The presented results show that solutions of saturation and pressure drop in time vary with mesh refinement, so the numerical slip length significantly affects the flow. For a coarser mesh the influence of numerical slip length is less than for a finer mesh, also as bigger the value of the viscosity ratio or surface tension as lower the influence of numerical slip length. The results show that the contact line motion significantly depends not only on the microstructure of the porous media, but also on the fluid properties (viscosity ratio, surface tension and etc.). Copyright 2020, Society of Petroleum Engineers.	Akasheva, Z., Assilbekov, B., Kudaikulov, A., Bolysbek, D.,Numerical calculation of the pressure drop and saturation of two-phase flow through porous medium. //Society of Petroleum Engineers - SPE Annual Caspian Technical Conference 2020, CTC 2020. – 2020. SPE Annual Caspian Technical Conference 2020, CTC 2020 DOI: https://doi.org/10.2118/202570-MS
97.	Experimental and Theoretical Studies of the Efficiency of Autonomous Multistory Wind Power Plants	DOI: 10.1134/S1063784220010168 (SJR 0,3;Q3, Procentile 23(Engineering Mechanical Engineering) 18(Engineering Mechanics of Materials)23(Physics and Astronomy - Physics and Astronomy (miscellaneous)) ).	The compact multistory wind power plants developed by authors for the first time in the world have been studied. Their efficiency due to the autonomy, compactness, and use of draft effect, which occurs between stories, has been shown. Thanks to this, compact multistory wind power plants will have some advantages in comparison with conventional wind power plants and separated wind-driven generators with the same power. © 2020, Pleiades Publishing, Ltd.	Kunakbaev, T., Tanasheva, N.K., Dyusembaeva, A.N., Shaimerdenova, K.M., Sagitzhanov, B.M.,Experimental and Theoretical Studies of the Efficiency of Autonomous Multistory Wind Power Plants. //Technical Physics. – 2020. – Vol.65. – P.37-40 DOI: 10.1134/S1063784220010168
98.	Computer-aided creation of coordinate grid for blasted rock block	DOI: 10.25018/0236-1493-2020-8-0-40-51 (SJR 0,33;Q2, Procentile 24(Engineering Industrial and Manufacturing Engineering) 21(Environmental Science Ecology) 19(Earth and Planetary Sciences Geotechnical Engineering and Engineering Geology) 17(Earth and Planetary Sciences Geology) 9(Earth and Planetary Sciences Geochemistry and Petrology) ).	The notions of ‘coordinate grid of blast block’ and ‘coordinate grid of blasted block’ are defined. The computer-aided determination of the coordinate grid points for a blasted rock block is described. The starting point is using relationships of the initial parameters of a blast rock block such as height and the final pattern of the determined points in the blasted rock block. The governing factors of a blasted block coordinate grid are the broken-rock disintegration height and width dependent on physical and mechanical properties of rocks, physicochemical characteristics of explosives and on blasting pattern design. Considerable influence on arrangement of the blasted block coordinate grid points is exerted by the degree of fragmentation of rocks in horizontal and inclined layers. It is found that the degree of fragmentation tends to increase from the rear to the periphery of the broken rock pile, both horizontally and vertically. Based on the integration of all determinants of a broken rock pile after blasting, the analytical method is newly developed to determine the points and create the coordinate grid of a blasted block. The new computer program for the automatic creation of a blasted block coordinate grid takes into account the influences exerted by physical and mechanical properties of rocks, physicochemical characteristics of explosives and blasting pattern design. The program allows fast and sufficiently accurate position fixing of a blasted block coordinate grid points at different parameters and conditions of blasting. The resultant coordinate grids of blasted blocks are the tool for locating different elements inside broken-rock disintegration. © 2020 Publishing house Mining book. All rights reserved.	Rakishev, B.R., Rakisheva, Z.B., Orynbay, A.A,Computer-aided creation of coordinate grid for blasted rock block. //Mining Informational and Analytical Bulletin. – 2019. – Vol.2020(8). – P.40-51 DOI: 10.25018/0236-1493-2020-8-0-40-51

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Publication activity of the Teaching staff of the Faculty of Mechanics and Mathematics for the last 5 years

Analytical method for determination of internal forces of mechanisms and manipulators. //Robotics,. – 2018. – Vol.7(3). – P.53

Synthesis of Reconfigurable Positioning Parallel Manipulator of a Class RoboMech. //2018 International Conference on Reconfigurable Mechanisms and Robots, ReMAR 2018 - Proceedings. – 2018. – 8449852

DOI: 10.1109/REMAR.2018.8449852

2020, 244, 118325

Mohanraj, M., Belyayev, Y., Jayaraj, S., Kaltayev, A.,Research and developments on solar assisted compression heat pump systems – A comprehensive review (Part-B: Applications). //Renewable and Sustainable Energy Reviews. – 2018. – Vol.83. – P.124-155

Aizhulov, D.Y., Shayakhmetov, N.M., Kaltayev, A.,Quantitative model of the formation mechanism of the rollfront uranium deposits. //Eurasian Chemico-Technological Journal. – 2018. – Vol.20(3). – P.213-221

Control of elastic shear waves by periodic geometric transformation: cloaking, high reflectivity and anomalous resonancesa

MEIRBEKOVA B., BRUN M. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

GMRES based numerical simulation and parallel implementation of multicomponent multiphase flow in porous media

Cogeneration Plants with Solar Radiation Concentrators

Drying of Vegetable Products in Mobile Solar Dryer with Movable Shelving

Scientific activity