Brze.niak, Zdzis.aw et al., Invariant measure for the stochastic Navier.Stokes equations in unbounded 2D domains, Annals of probability (Online) , 45(5), 2017, pp. 3145-3201
Building upon a recent work by two of the authors 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 author and Y. Li proved a corresponding result in the case of an additive noise.