Inviscid limit of stochastic damped 2D Navier-Stokes equations
Probability
2013-07-30 v3 Analysis of PDEs
Abstract
We consider the inviscid limit of the stochastic damped 2D Navier- Stokes equations. We prove that, when the viscosity vanishes, the stationary solution of the stochastic damped Navier-Stokes equations converges to a stationary solution of the stochastic damped Euler equation and that the rate of dissipation of enstrophy converges to zero. In particular, this limit obeys an enstrophy balance. The rates are computed with respect to a limit measure of the unique invariant measure of the stochastic damped Navier-Stokes equations.
Keywords
Cite
@article{arxiv.1212.0509,
title = {Inviscid limit of stochastic damped 2D Navier-Stokes equations},
author = {H. Bessaih and B. Ferrario},
journal= {arXiv preprint arXiv:1212.0509},
year = {2013}
}