Ergodic results for stochastic navier-stokes equation

Abstract

In this paper we deal with the 2-D Navier-Stokes equation perturbed by a white noise force. Uniqueness of the invariant measure for this stochastic equation is obtained in a simpler way than in [6], proving that the two main properties of the Markov semigroup associated with this equation, i.e. irreducibility and strong Feller property, hold in the same space. Moreover, the assumptions on the noise are more general than in [6]