Mikhail Vishik

  • Professor
  • Mathematics

Affiliated Faculty, Oden Institute

Profile image of Mikhail Vishik

Contact Information

Biography

Mikhail 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

Research

Partial Differential Equations, 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; Nonselfadjoint 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

Research Areas

  • Mathematics

Fields of Interest

  • Analysis

Education

  • Ph.D., Moscow State University, Russia (1980)