THE KOLMOGOROV EQUATION ASSOCIATED TO THE STOCHASTIC NAVIER–STOKES EQUATIONS IN 2D

DOI10.1142/S0219025704001554zbMath1085.60041OpenAlexW1969872699MaRDI QIDQ5315819

Arnaud Debussche, Viorel Barbu, Giuseppe Da Prato

Publication date: 9 September 2005

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025704001554

zbMATH Keywords

invariant measurescarre du champs identity

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stochastic analysis applied to problems in fluid mechanics (76M35) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (8)

\(m\)-dissipativity of Kolmogorov operators corresponding to Burgers equations with space-time white noise ⋮ Kolmogorov equation associated to a stochastic Kuramoto-Sivashinsky equation ⋮ Essential \(m\)-dissipativity of Kolmogorov operators for the \(2D\)-stochastic shear thickening fluids ⋮ Kolmogorov equations for randomly perturbed generalized Newtonian fluids ⋮ Optimal stopping-time problem for stochastic Navier-Stokes equations and infinite-dimensional variational inequalities ⋮ Kolmogorov equations in infinite dimensions: well-posedness and regularity of solutions, with applications to stochastic generalized Burgers equations ⋮ DISSIPATIVE BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS IN INFINITE DIMENSIONS ⋮ Lp-uniqueness of Kolmogorov operators associated with 2D-stochastic Navier-Stokes-Coriolis equations

Cites Work

• Dissipative operators in a Banach space
• Dissipativity and invariant measures for stochastic Navier-Stokes equations
• Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics
• Some properties of invariant measures of non symmetric dissipative stochastic systems
• Singular dissipative stochastic equations in Hilbert spaces
• A coupling approach to randomly forced nonlinear PDE's. II
• Exponential mixing of the 2D stochastic Navier-Stokes dynamics
• Ergodic theory of infinite dimensional systems with applications to dissipative parabolic PDEs
• Ergodicity of 2D Navier-Stokes equations with random forcing and large viscosity
• Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators
• Stochastic differential equations in infinite dimensions: Solutions via Dirichlet forms
• Some Results about Dissipativity of Kolmogorov Operators
• Ergodicity for Infinite Dimensional Systems
• A coupling approach to randomly forced nonlinear PDE's. I

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