paper

Existence of martingale and stationary suitable weak solutions for a stochastic Navier-Stokes system

arXiv:math/0609318

Abstract

The existence of suitable weak solutions of 3D Navier-Stokes equations, driven by a random body force, is proved. These solutions satisfy a local balance of energy. Moreover it is proved also the existence of a statistically stationary solution.

28 pages. Submitted on January 2001; still waiting for the the referee's answer