Ergodic theory of infinite dimensional systems with applications to dissipative parabolic PDEs

Nader Masmoudi; Lai Sang Young

doi:10.1007/s002200200639

Ergodic theory of infinite dimensional systems with applications to dissipative parabolic PDEs

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Abstract

We consider a class of randomly perturbed dynamical systems satisfying conditions which reflect the properties of general (nonlinear) dissipative parabolic PDEs. Results on invariant measures and their exponential mixing properties are proved, and applications to 2D Navier-Stokes systems are included.

Original language	English (US)
Pages (from-to)	461-481
Number of pages	21
Journal	Communications In Mathematical Physics
Volume	227
Issue number	3
DOIs	https://doi.org/10.1007/s002200200639
State	Published - Jun 2002

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s002200200639

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title = "Ergodic theory of infinite dimensional systems with applications to dissipative parabolic PDEs",

abstract = "We consider a class of randomly perturbed dynamical systems satisfying conditions which reflect the properties of general (nonlinear) dissipative parabolic PDEs. Results on invariant measures and their exponential mixing properties are proved, and applications to 2D Navier-Stokes systems are included.",

author = "Nader Masmoudi and Young, {Lai Sang}",

year = "2002",

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Ergodic theory of infinite dimensional systems with applications to dissipative parabolic PDEs

Abstract

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