ERGODIC THEOREMS FOR 2D STATISTICAL HYDRODYNAMICS

DOI10.1142/S0129055X02001338zbMath1030.37054MaRDI QIDQ4420446

Sergej B. Kuksin

Publication date: 17 August 2003

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

central limit theoremstationary measurerandom forceNavier-Stokes systemhomogeneous measurestrong law of large number

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) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)

Related Items (5)

On invariant measures of the 2D Euler equation ⋮ Remarks on the balance relations for the two-dimensional Navier-Stokes equation with random forcing ⋮ Large deviations for the Navier-Stokes equations driven by a white-in-time noise ⋮ A family of balance relations for the two-dimensional Navier-Stokes equations with random forcing ⋮ Law of large numbers and central limit theorem for randomly forced PDE's

Cites Work

• Spectral properties of solutions for nonlinear PDEs in the turbulent regime
• Coupling approach to white-forced nonlinear PDEs
• Invariant measures for Burgers equation with stochastic forcing
• Stochastic dissipative PDE's and Gibbs measures
• Ergodicity of the 2-D Navier-Stokes equation under random perturbations
• Ergodicity for the Navier‐Stokes equation with degenerate random forcing: Finite‐dimensional approximation
• Uniqueness of the invariant measure for a stochastic PDE driven by degenerate noise
• Ergodicity for the randomly forced 2D 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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