Modul:   MAT673  Seminar PDE and Mathematical Physics

Inviscid limits for the stochastic 2D Navier-Stokes equations and the damped 2D Euler equations

Talk by Prof. Dr. Vlad Vicol

Speaker invited by: Prof. Dr. Camillo De Lellis

Date: 24.03.14  Time: 17.15 - 19.00  Room: Y27H25

Motivated by turbulence theories, we address the behavior in the infinite Reynolds number limit of invariant measures for the 2D stochastic Navier-Stokes equations. We prove that the limiting inviscid invariant measures are supported on bounded vorticity solutions of the 2D Euler equations. We also prove the that ergodic invariant measures for the fractionally damped stochastic 2D Euler equations are unique.