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

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)461-481
Number of pages21
JournalCommunications in Mathematical Physics
Volume227
Issue number3
DOIs
StatePublished - Jun 2002

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Parabolic PDEs
Infinite-dimensional Systems
Ergodic Theory
pulse detonation engines
2-D Systems
Navier-Stokes System
Invariant Measure
dynamical systems
Dynamical system
Class

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

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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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doi = "10.1007/s002200200639",
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