**Ershin Shahbaz**

Doctor of Physical and Mathematical Sciences, professor, academician of NAS RK

**Main scientific achievements:**

Ershin Sh It is one of the founders of the theory of aerodynamic gas torch. His project is the restoration of the Aral Sea in 1993 was awarded the Ministry of Ecology and Bioresources of Kazakhstan Prize. Ershin Sh. and his students for the first time the existence of free Taylor vortices – Gertler. Studied the wear problem of intra-field pipelines, reveal the mechanism of pipeline erosion, known as “crevice effect”. He proposed a thermomechanical process for recovering oil and cleaning the barn area of these deposits by oil pollution. He proposed a new version of the rotary wind turbine and Bidart Bidart – 2. He has published over 140 scientific papers. Under his supervision 29 candidate and 6 doctoral theses.

**Aisagaliev Serikbai**

Doctor of Technical Sciences, Professor

**Main scientific achievements:**

Developed new criteria for absolute stability of dynamical systems based on the evaluation of improper integrals along the solutions of the system. Developed new criteria for the global asymptotic stability of dynamical systems with cylindrical phase space. The theory of control of dynamic systems described by ordinary differential equations and the equations of parabolic type. Created constructive method for solving boundary value problems of optimal control of dynamic sistemami.Razrabotana nonlinear mathematical model of the educational planning process. According to the results of research released monograph “The quantitative analysis of the educational process”.

**Abdibekov Ualikhan**

Doctor of Physical and Mathematical Sciences, professor,

academician of the National Academy of Engineering Republic of Kazakhstan

**Main scientific achievements:**

We studied the problem of turbulence in the presence of external forces. Developed semi-empirical turbulence models for stratified environment, as well as MHD conducting medium built turbulence models that take into account the effect of centrifugal forces. The effective numerical methods for solving the equations of mathematical physics, which are used to study a wide range of practical problems. Proposed different models and methods of hydrodynamic processes, as well as turbulence transporting of admixture in a stratified medium, widely used in the environmental objectives. It implemented a theoretical justification for the proposed approaches and methods developed numerical algorithms and their implementation.

**Tukeyev Ualsher**

Doctor of Technical Sciences, Professor

**Main scientific achievements:**

The scientific and technological bases of the automated database design and program complex real-time systems. The scientific and methodological foundations of integration into the world educational space of the educational process of higher and postgraduate education, including the model of the European educational space, the model setting the major components of the educational process, the methodology of setting the quality of the educational process of the European educational space, complemented by the inclusion of quality management model at the level of teacher-student professional standards of specialties and a national qualification framework. Intensive research is underway to develop the scientific and technological bases of machine translation of the Kazakh language.

**Mutanov Galimkair**

doctor of technical sciences, professor, academician of NAS RK,

member of the World Academy of Arts and Sciences (The World Academy of Art and Science)

**Main scientific achievements:**

G. Mutanov is an academician of over ten international academies, the author of over 400 scientific publications, including more than 20 monographs, textbooks, teaching aids in the management of socio-economic, technical processes and systems, teaching materials published in the United States, the Czech Republic, Sweden, Germany, Switzerland; author of more than 40 patents and inventions. In 2014, the world-renowned publishing house “Springer” recognizing the merits of the author, published his book «Mathematical Methods and Models in Economic planning, Managemen.

**Badaev Serikzhan**

Doctor of Physical and Mathematical Sciences, Professor

**Main scientific achievements:**

Proved (together with Steffen Lempp, USA) existence of a family of dce sets, Rogers semilattice which can be partitioned into a principal ideal and the principal filter generated Fridbergov numbering. In particular, such a family has exactly two minimum numbering are Fridbergov. It is proved (with S.S.Goncharov, Russia) that any computable family of infinite sets in the arithmetical hierarchy has infinitely many minimal computable numberings. (Note that any finite family has the lowest numbering). In the Ershov hierarchy found a family consisting of a pair of nested sets and having a singleton Rogers semilattice.

**Kaltayev Aidarkhan**

Doctor of Physical and Mathematical Sciences, professor,

Academician of the National Academy of Engineering

**Main scientific achievements:**

The models and numerical methods developed for different modes of oxidation of hydrocarbons in a cold flame combustion of the combustible mixture in the combustion chamber at low Mach numbers, the transition combustion gas mixture in a detonation, minerals extraction by underground leaching. The regularities of the transition combustion gas mixture in a detonation, gas dynamics and turbulent to laminar and supersonic flows of the reacting mixture in the combustion chambers; ways to improve the efficiency of oil and gas and mineral extraction by underground leaching.

**Kanguzhin Baltabek**

Doctor of Physical and Mathematical Sciences, Professor

**Main scientific achievements:**

An efficient mathematical tool for the study of nonlocal boundary value problems internally, allows you to explore both common and multi-dimensional differential operators. The foundations of a new theory of spectral analysis of multidimensional non-local boundary value problems for partial differential equations.

**Drakunov Yuri**

Doctor of Technical Sciences, Professor

**Main scientific achievements:**

The problems of kinematic and dynamic synthesis of planar and spatial mechanisms, machines, robotics and mechanical systems. New methods of solving the problems of dynamic analysis and synthesis of mechanical systems. An automatic system for the withdrawal and the solution of differential equations of continuum mechanics. Under his leadership and with his direct participation created and implemented in the production of mechatronic systems of modern logging unit, fluoroscopic systems laboratory and field device, at the stage of completion of the drilling robot ВЕЕР-1М.

**Dauylbaev Muratkhan**

Doctor of Physical and Mathematical Sciences, Professor

**Main scientific achievements:**

A method of qualitative research singularly perturbed linear integrodifferential equations with initial conditions on the right or at an interior point of the segment under consideration. The features of the qualitative effect of the integral members on the asymptotic behavior of solutions to singularly perturbed integro-differential equations. Revealed the phenomenon of initial jumps of arbitrary order. New classes of nonlinear singularly perturbed integro-differential equations, which have initial jumps of arbitrary order phenomena. A method of constructing asymptotic expansions of solutions of singularly perturbed integro-differential equations with initial jumps of arbitrary order.

**Kydyrbekuly Almatbek**

Doctor of Technical Sciences, Professor

**Main scientific achievements:**

Is engaged in the development and analysis of the generalized models of dynamic systems with cavities partially filled with fluid, and elastic systems with nonlinear complicating factors (nonlinear elastic characteristics of the geometric and physical nature of nonlinear-viscous resistance, non-linear inertial the link between their face and the elastic movement) in relation to the tasks machine dynamics. Theoretical modeling of oscillatory processes in rotary systems with cavities partially filled with liquid and physically nonlinear elastic coupled systems with finite deformations, predicting their stability, the totality of which is a major achievement in the development of machine dynamics.

**Bektemesov Maktagali**

Doctor of Physical and Mathematical Sciences, professor,

corresponding member of National Engineering Academy of Kazakhstan

**Main scientific achievements:**

Built gradient methods for solving ill-posed problems for elliptic, parabolic and hyperbolic equations. The estimates of the strong convergence of the steepest descent method for the rate of incorrect initial value problems. Constructed Carleman estimates for ill-posed Cauchy problems. The estimates of conditional stability of the solution of inverse problem of boundary conditions of ill-posed Cauchy problems. For the first time in a complex fractal image obtained plane area stability of the solution of the Cauchy problem for the equations of the first and second order.

**Serovaiskii Semen**

Doctor of Physical and Mathematical Sciences, Professor

**Main scientific achievements:**

The concept of extended derivative operator and is designed corresponding to its calculus, used to deal with new nonlinear infinite-dimensional problems of optimal control. We investigated optimization problems using a new concept of a weakened approximate solution in the absence of more severe forms of the approximate solution. For solving mathematical physics problems on the basis of a new concept of sequential decision given the constructive definition of a generalized and classical solutions of these problems.

**Shakenov Kanat**

Doctor of Physical and Mathematical Sciences, Professor

**Main scientific achievements: **

First solved by Monte Carlo full Navier-Stokes equation, the linearized Navier-Stokes equations perturbed Navier-Stokes equations, stationary Navier-Stokes equations. Solved filtration and relaxation filtration problem Monte Carlo methods. Solved by Monte Carlo parametric inverse problem of atmospheric optics.Resolved multidimensional parametric inverse problem of stochastic optimal control. Fixed some financial risk modeling tasks.

**Sikhov Mirbulat Bahytzhanovich**

Doctor of Physical and Mathematical Sciences, Associate Professor

**Main scientific achievements:**

Get reverse approximation theorem in the case of different metrics. The concept of “predpoperechnik Kolmogorov” and obtain estimates for Kolmogorov predpoperechnikov Nikolsky and Besov S-classes in the multidimensional case with approximations by trigonometric polynomials, when the spectrum approximating polynomials is determined by a majorant function. Established inequality of Bernstein and Jackson-Nikol’skii for trigonometric polynomials with the spectrum of an arbitrary finite set, will receive a final assessment of the Norms of Derivatives of Dirichlet kernels with the spectrum of an arbitrary finite set.

**Mukhambetzhanov Saltanbek**

Doctor of Physical and Mathematical Sciences, Professor,

corresponding member of National Engineering Academy of Kazakhstan

**Main scientific achievements:**

The correctness of mathematical models of phase transitions with relaxation. The methods for solving direct and inverse problems of the filtration theory. The mathematical modeling of liquid filtration processes in the porous medium, taking into account mass transfer processes, as well as computer simulations of liquid filtration processes in the near-well zone of the formation and change of technological parameters of the real fields with specific data.

**Ahmed Zaki Darkhan**

Doctor of Technical Sciences

** Main scientific achievements:**

A computational algorithm for solving 2D and 3D mathematical model of heat and mass transfer in porous media in the injection of heat-carriers and surfactants. The information system of distributed and parallel computing problems of filtration through a Web portal. Development in organizing a formal cloud computing model for the formation of multi-user systems “micro-cloud” of mobile devices.