A family of balance relations for the two-dimensional Navier-Stokes equations with random forcing

DOI10.1007/s10955-004-8816-2zbMath1064.76027OpenAlexW1983398304MaRDI QIDQ1777928

Oliver Penrose, Sergej B. Kuksin

Publication date: 25 May 2005

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-004-8816-2

zbMATH Keywords

stationary measuretwo-dimensional turbulence

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55) 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 (4)

Some rigorous results on a stochastic GOY model ⋮ Kinetic theory of jet dynamics in the stochastic barotropic and 2D Navier-Stokes equations ⋮ Remarks on the balance relations for the two-dimensional Navier-Stokes equation with random forcing ⋮ On inviscid limits for the stochastic Navier-Stokes equations and related models

Cites Work

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• The Eulerian limit for 2D statistical hydrodynamics
• Coupling approach to white-forced nonlinear PDEs
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• Exponential mixing of the 2D stochastic Navier-Stokes dynamics
• ERGODIC THEOREMS FOR 2D STATISTICAL HYDRODYNAMICS
• Some limiting properties of randomly forced two-dimensional Navier–Stokes equations
• A coupling approach to randomly forced nonlinear PDE's. I
• Gibbsian dynamics and ergodicity for the stochastically forced Navier-Stokes equation

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