Invariant measure for the stochastic Navier-Stokes equations in unbounded 2D domains

Abstract

Building upon a recent work by two of the authours and J. Seidler on bw-Feller property for stochastic nonlinear beam and wave equations, we prove the existence of an invariant measure to stochastic 2-D Navier-Stokes (with multiplicative noise) equations in unbounded domains. This answers an open question left after the first authour and Y. Li proved a corresponding result in the case of an additive noise.

arXiv commentSection 2 of the paper is an introductory section for the convenience of a reader and hence relies heavily on paper arXiv:1208.3386 Some substantial editial changes with respect to version 1 have been made resulting in better presentation