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

Citation
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
ISSN journal
2168894X
Volume
45
Issue
5
Year of publication
2017
Pages
3145 - 3201
Database
ACNP
SICI code
Abstract
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.