\(L^1\)-uniqueness of Kolmogorov operators associated with two-dimensional stochastic Navier-Stokes Coriolis equations with space-time white noise

DOI10.1007/s10959-014-0582-8zbMath1342.76038arXiv1304.4384OpenAlexW3125899320MaRDI QIDQ300289

Martin Sauer

Publication date: 27 June 2016

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4384

zbMATH Keywords

invariant measuresCoriolis forcesKolmogorov operatorspace-time white noisetwo-dimensional Navier-Stokes system

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Statistical solutions of Navier-Stokes and related equations (76D06)

Related Items (3)

Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure ⋮ Recurrent motion of stochastic Navier–Stokes equations with Coriolis force ⋮ Point vortex approximation for 2D Navier-Stokes equations driven by space-time white noise

Cites Work

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• Two-dimensional Navier-Stokes equations driven by a space-time white noise
• \(L^{1}\)-uniqueness of regularized 2D-Euler and stochastic Navier-Stokes equations
• Uniqueness of solutions of the stochastic Navier-Stokes equation with invariant measure given by the enstrophy.
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• A NEW A PRIORI ESTIMATE FOR THE KOLMOGOROV OPERATOR OF A 2D-STOCHASTIC NAVIER–STOKES EQUATION
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