Uniqueness of the generators of the 2D Euler and Navier-Stokes flows

DOI10.1016/j.spa.2007.12.003zbMath1157.35080OpenAlexW1964731261MaRDI QIDQ952742

Viorel Barbu, Benedetta Ferrario, Sergio A. Albeverio

Publication date: 14 November 2008

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2007.12.003

zbMATH Keywords

invariant measureEuler and Navier-Stokes flowLiouville and Kolmogorov generators

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) General theory of partial differential operators (47F05) Transition functions, generators and resolvents (60J35)

Related Items (6)

Infinitesimal invariance of completely Random Measures for 2D Euler Equations ⋮ \(L^1\)-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 ⋮ Essential self-adjointness of Liouville operator for 2D Euler point vortices ⋮ Hydrodynamic models ⋮ Lp-uniqueness of Kolmogorov operators associated with 2D-stochastic Navier-Stokes-Coriolis equations

Cites Work

• Kolmogorov equations for stochastic PDEs.
• Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two dimensional fluids
• Stochastic flows with stationary distribution for two-dimensional inviscid fluids
• Kolmogorov equation associated to a stochastic Navier-Stokes equation
• The two-dimensional Euler equation: A statistical study
• Dissipativity and invariant measures for stochastic Navier-Stokes equations
• Selfadjointness of some infinite-dimensional elliptic operators and application to stochastic quantization
• Uniqueness results for the generators of the two-dimensional Euler and Navier-Stokes flows
• 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.
• Essential \(m\)-dissipativity of Kolmogorov operators corresponding to periodic 2D-Navier Stokes equations
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