##### Department of Mathematics,

University of California San Diego

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### Analysis Seminar

## Vlad Vicol

#### Princeton University

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

##### Abstract:

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.

Host: Jacob Sterbenz

### May 1, 2014

### 1:00 PM

### AP&M 5829

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