Ergodic theorems for 2D statistical hydrodynamics

Sergei B. Kuksin

doi:10.1142/S0129055X02001338

Ergodic theorems for 2D statistical hydrodynamics

Sergei B. Kuksin

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

We consider the 2D Navier-Stokes system, perturbed by a random force, such that sufficiently many of its Fourier modes are excited (e.g. all of them are). We discuss the results on the existence and uniqueness of a stationary measure for this system, obtained in last years, homogeneity of the measures and some their limiting properties. Next we use these results to prove that solutions of the equations obey the central limit theorem and the strong law of large numbers.

Original language	English
Pages (from-to)	585-600
Number of pages	16
Journal	Reviews in Mathematical Physics
Volume	14
Issue number	6
DOIs	https://doi.org/10.1142/S0129055X02001338
Publication status	Published - Jun 2002

Keywords

Central limit theorem
Homogeneous measure
Navier-Stokes system
Random force
Stationary measure
Strong law of large numbers

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10.1142/S0129055X02001338

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KW - Homogeneous measure

KW - Navier-Stokes system

KW - Random force

KW - Stationary measure

KW - Strong law of large numbers

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JO - Reviews in Mathematical Physics

JF - Reviews in Mathematical Physics

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Ergodic theorems for 2D statistical hydrodynamics

Abstract

Keywords

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