Inviscid Limit for Stochastic Navier-Stokes Equations in 2D Domains with Boundary – Eliseo Luongo (Scuola Normale Superiore Pisa)

Venue

Sala Seminari (Dip. Matematica).

Abstract

We prove some conditioned results for the inviscid limit of the stochastic Navier-Stokes equations with additive noise to the deterministic Euler equations, in a smooth 2 dimensional bounded domain in the case of no-slip boundary conditions. This resembles some deterministic results of T.Kato, but contrary to these results we do not always assume that the solution of the Euler equations is classical and we prove that under suitable initial conditions the inviscid limit to a weak solution of the Euler equations holds true.

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