Kolmogorov equation associated to a stochastic Navier-Stokes equation
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Publication:1276414
DOI10.1006/jfan.1998.3321zbMath0928.60044OpenAlexW2086063622MaRDI QIDQ1276414
Publication date: 27 January 1999
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.1998.3321
Navier-Stokes equations (35Q30) Probabilistic potential theory (60J45) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (18)
\(L^{1}\)-uniqueness of regularized 2D-Euler and stochastic Navier-Stokes equations ⋮ \(L^1\)-uniqueness of Kolmogorov operators associated with two-dimensional stochastic Navier-Stokes Coriolis equations with space-time white noise ⋮ Three-dimensional magnetohydrodynamics system forced by space-time white noise ⋮ Hydrodynamic models ⋮ Gibbsian dynamics and ergodicity of magnetohydrodynamics and related systems forced by random noise ⋮ A NEW A PRIORI ESTIMATE FOR THE KOLMOGOROV OPERATOR OF A 2D-STOCHASTIC NAVIER–STOKES EQUATION ⋮ Quasipotential and exit time for 2D stochastic Navier-Stokes equations driven by space time white noise ⋮ Uniqueness of the generators of the 2D Euler and Navier-Stokes flows ⋮ Martingale solutions for stochastic active scalar equations perturbed by non-trace class noise ⋮ Kolmogorov equations for randomly perturbed generalized Newtonian fluids ⋮ Kolmogorov equations in infinite dimensions: well-posedness and regularity of solutions, with applications to stochastic generalized Burgers equations ⋮ Calculus via regularizations in Banach spaces and Kolmogorov-type path-dependent equations ⋮ Kolmogorov Equations Associated to the Stochastic Two Dimensional Euler Equations ⋮ Ergodicity for stochastic equations of Navier-Stokes type ⋮ Strong Feller property of the magnetohydrodynamics system forced by space–time white noise ⋮ Uniqueness results for the generators of the two-dimensional Euler and Navier-Stokes flows ⋮ On the relation between the Girsanov transform and the Kolmogorov equations for SPDEs ⋮ Two-dimensional Navier-Stokes equations driven by a space-time white noise
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