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

• Zdzisław Brzeźniak ^[2] ; Elżbieta Motyl ^[2] ; Martin Ondrejat ^[1]
  1. [1] University of Łódź

     University of Łódź

     Łódź, Polonia

     
  2. [2] University York (UK)
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 45, Nº. 5, 2017, págs. 3145-3201
• Idioma: inglés
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• Resumen

  • Building upon a recent work by two of the authors and J. Seidler on bwbw-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.