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.
Citation
Zdzisław Brzeźniak. Elżbieta Motyl. Martin Ondrejat. "Invariant measure for the stochastic Navier–Stokes equations in unbounded 2D domains." Ann. Probab. 45 (5) 3145 - 3201, September 2017. https://doi.org/10.1214/16-AOP1133
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