\(L^{1}\)-uniqueness of regularized 2D-Euler and stochastic Navier-Stokes equations

DOI10.1016/S0022-1236(02)00182-9zbMath1020.35071MaRDI QIDQ1874453

Wilhelm Stannat

Publication date: 25 May 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

uniquenessmeasure-preserving flow2D-Euler equationregularized stochastic 2D-Navier-Stokes equations

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Navier-Stokes equations (35Q30) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (6)

\(L^1\)-uniqueness of Kolmogorov operators associated with two-dimensional stochastic Navier-Stokes Coriolis equations with space-time white noise ⋮ Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure ⋮ Hydrodynamic models ⋮ Weak vorticity formulation of 2D Euler equations with white noise initial condition ⋮ A NEW A PRIORI ESTIMATE FOR THE KOLMOGOROV OPERATOR OF A 2D-STOCHASTIC NAVIER–STOKES EQUATION ⋮ Uniqueness of the generators of the 2D Euler and Navier-Stokes flows

Cites Work

• Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two dimensional fluids
• Stochastic flows with stationary distribution for two-dimensional inviscid fluids
• Infinite-dimensional dynamical systems in mechanics and physics
• Introduction to the theory of (non-symmetric) Dirichlet forms
• Kolmogorov equation associated to a stochastic Navier-Stokes equation
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• Uniqueness results for the generators of the two-dimensional Euler and Navier-Stokes flows
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