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

Zdzisław Brzeźniak; Elżbieta Motyl; Martin Ondrejat

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arXiv · 1502.02637

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

Zdzisław Brzeźniak·Elżbieta Motyl·Martin Ondrejat

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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.

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Zdzisław Brzeźniak, Elżbieta Motyl, Martin Ondrejat. 2016-07-04. Invariant measure for the stochastic Navier-Stokes equations in unbounded 2D domains. https://arxiv.org/abs/1502.02637

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