Inviscid Limit of the Stochastic Hyperviscous Navier-Stokes Equations and Invariant Measures for the Euler Equations in ${\mathbb{R}}^2$

Zdzisław Brzeźniak, Matteo Ferrari

We prove the existence and some moment estimates for an invariant measure $\hat{I}¼$ for the two-dimensional ($2$D) deterministic Euler equations on the unbounded domain ${\mathbb{R}}^2$ an…