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Cyrill B. Muratov

Muratov, Cyrill B.
Professor, Mathematical Sciences
CUL 507
About Me

My research is mainly in the area of applied analysis and calculus of variations. The problems under consideration arise from a variety of applications from materials science, fluid mechanics and biology and give rise to systems of nonlinear partial differential equations exhibiting self-organizing behavior. These difficult mathematical problems can often be successfully approached by the direct method of calculus of variations and singular perturbation techniques.

Currently, my ongoing projects include asymptotic analysis of energy-driven pattern formation problems in the presence of non-local effects, with major applications to ultrathin ferromagnetic films and nanotechnology. Other projects involve modeling, analysis and simulations of rare events in noise-driven systems and studies of multiscale, multiphysics problems, with particular applications to NASA's space exploration systems.

Education
  • PhD, Physics, Boston University, 1998
  • MSc, Applied Mathematics and Physics, Moscow Institute of Physics and Technology, 1993
Research Interests
  • Calculus of variations, analysis of nonlinear PDEs, mathematical physics
  • Pattern formation and front propagation phenomena
  • Reaction-diffusion equations and their applications to embryonic development
  • Stochastic analysis of rare events
  • Multiphysics modeling
Selected Publications