Remarks on 3D Stochastic Navier-Stokes Equations

Abstract

Stochastic Navier-Stokes equations could be a suitable model to address questions of statistical fluid mechanics. For stationary measures arising from the Galerkin scheme, energy balance relations are reviewed, a notion of scaling law inspired by Kolmogorov theory is introduced, and a few results and remarks are given in dimensions 2 and 3.