University of Texas at Austin
Mikhail Vishik

Contact

email

phone (512) 471-1165

Mikhail Vishik

Affiliated faculty (non-Core)

Professor Mathematics

Research Interests

Computational Mechanics Partial Differential Equations

Biography

Dr. Vishik received his Ph.D from Moscow State University, Russia, in 1980.

His Research Interests include partial differential equations and fluid dynamics. Existence and uniqueness theory for the Euler equations of an ideal incompressible fluid; Function spaces and wavelets; Linear and nonlinear stability theory of fluid motion; Navier-Stokes equations and the limit of vanishing viscosity; Non-selfadjoint spectral theory; Geometry of SDiff, Arnold's theory; "Set-theoretic" fluid dynamics (this expression is due to V.I.Yudovich); Asymptotic theory of quantum averages; Nonarchimedean analysis and p-adic L-functions