Invariant measure for the stochastic Navier-Stokes equations in unbounded 2D domains
Probability
2016-07-05 v2
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.
Keywords
Cite
@article{arxiv.1502.02637,
title = {Invariant measure for the stochastic Navier-Stokes equations in unbounded 2D domains},
author = {Zdzisław Brzeźniak and Elżbieta Motyl and Martin Ondrejat},
journal= {arXiv preprint arXiv:1502.02637},
year = {2016}
}
Comments
Section 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