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VISHIK, MIKHAIL M

Mikhail M Vishik

Professor
Department of Mathematics


Partial Differential Equations, Fluid Dynamics
vishik@math.utexas.edu

Phone: 512-471-1165

Office Location
PMA 11.128

Postal Address
2515 SPEEDWAY
AUSTIN, TX 78712

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

Research Interests

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