Aslan Kasimov holds a Ph.D. degree in Theoretical and Applied Mechanics from the University of Illinois at Urbana-Champaign, received in 2004. He obtained his undergraduate education at Moscow Engineering-Physics Institute (MEPhI) graduating in 1993 with a degree in chemical physics. Prior to joining Skoltech, Prof. Kasimov was a lecturer and instructor in applied mathematics at the Department of Mathematics of MIT (2005-2009), served as a founding faculty at the King Abdullah University of Science and Technology (KAUST, 2009-2016), and held a position in the Tamm Theoretical Physics Department at the Lebedev Physical Institute of the Russian Academy of Sciences.
He was a recipient of a US AFOSR Young Investigator Award in 2007 for his work on detonation theory and of a number of graduate awards at the University of Illinois. He has substantial teaching and advising experience at both graduate and undergraduate levels at MIT and KAUST. At KAUST, he helped establish a vigorous graduate program in Applied Mathematics and Computational Science, where he created and taught original courses on applied partial differential equations, stability and bifurcation theory, asymptotic analysis, and theoretical fluid dynamics. Many graduates of the program continued as doctoral students or postdocs at various universities around the world including Stanford University, UC Berkeley, Oxford University, MIT.
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Positions are open for students and postdocs – see below under News tab.
|Prof. Kasimov’s research is focused on the theory and numerical simulation of reacting flows and other nonlinear phenomena that exhibit complex, often chaotic, dynamics. Much of his past research has been on the theory of detonations, with particular emphasis on the analysis of stability of detonation waves and on the construction of asymptotic models of multi-dimensional detonations. He has also made contributions to various other areas of nonlinear science, such as: traffic modeling, co-authoring a theory of jamitons; theory of water waves, especially involving hydraulic jumps; pattern-forming instabilities in reaction-diffusion equations in biology; dispersive waves, such as those arising in the complex Gross-Pitaevskii equation; analysis of partial differential equations.At the Skoltech Center for Design, Manufacturing and Materials, Prof. Kasimov’s research is on the analysis and computation of complex fluid flows and of phase-transition phenomena occurring in various manufacturing processes.Research highlight: 3D model on the right shows the chaotic attractor of a reactive Burgers equation introduced originally and analyzed in:
I am looking for ambitious students (at both MSc and PhD levels) and postdocs to join a research group in fluid dynamics. The group is engaged in theoretical and computational research aimed at understanding the physics of complex flows in multiphase systems. Particular directions of current interest are:
Positions for students require strong background in physics/mechanics and applied and computational mathematics. Postdoctoral candidates must have an earned PhD degree in physics, engineering or mathematics and have demonstrated the ability to solve major problems in their field of expertise.
Skoltech offers excellent conditions for work and study including state-of-the-art experimental and computational facilities and internationally competitive stipends and salaries.
Interested candidates are welcome to write to Prof. Aslan Kasimov at for further details.
Numerical Methods in Engineering and Science
The course is intended to provide the understanding and working knowledge of numerical methods required for modeling and simulation of complex phenomena. It focuses on fundamentals of the methods such as accuracy, stability, convergence, and consistency rather than learning how to use canned computer codes. The course involves first-hand experience with programming and solving real problems on computers. Solid knowledge of calculus, linear algebra, complex variables is essential, and basic understanding of the theory of ordinary and partial differential equations of physics and engineering as well as basic programming skills are required. The following topics will be covered: solving nonlinear equations, matrix equations, eigenvalue problems, interpolation, numerical differentiation and integration, numerical solution of ordinary and partial differential equations, optimization problems, and data analysis.
Mathematical Modeling in Manufacturing and Applied Sciences
This is a 6-credit course on applied mathematics primarily aimed at first year Masters students. It introduces essential mathematical modeling techniques emphasizing analytical methods and their use in solving various problems of applied science and manufacturing. The topics include: asymptotic and perturbation methods for ordinary and partial differential equations, singular perturbations, homogenization, analysis of models of heat transfer, fluid and solid mechanics, electromagnetism, chemical kinetics, chemical reactors, convection in porous media, one-dimensional two-phase flow, linear and nonlinear stability, alloy solidification, interfacial instabilities and pattern formation.
Профессор Аслан Рамазанович Касимов получил ученую степень PhD в теоретической и прикладной механике в Университете штата Иллинойс в Урбана-Шампейн, США, в 2004 году. Он является выпускником кафедры физики быстропротекающих процессов Московского инженерно-физического института (МИФИ) 1993 года. До прихода в «Сколтех» профессор Касимов работал преподавателем прикладной математики на факультете математики Массачусетского технологического института (2005-2009), был профессором-основателем университета науки и технологии им. Короля Абдуллы (KAUST, 2009-2016), также работал сотрудником в отделении теоретической физики им. И.Е. Тамма в Физическом институте им. П.Н. Лебедева РАН.
Он был лауреатом премии и гранта US AFOSR Young Investigator Award в 2007 году за работу по теории детонации. Имеет значительный опыт преподавания и руководства аспирантами в Массачусетском технологическом институте и KAUST. В KAUST он был одним из основателей программы магистратуры и аспирантуры по прикладной математике и вычислительной науке, где он создал и преподавал оригинальные курсы по прикладным уравнениям в частных производных, теории устойчивости и бифуркаций, асимптотическому анализу и теоретической гидродинамике.