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Communications in Mathematical Physics

, Volume 227, Issue 3, pp 461–481 | Cite as

Ergodic Theory of Infinite Dimensional Systems¶with Applications to Dissipative Parabolic PDEs

  • Nader Masmoudi
  • Lai-Sang Young

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.

Keywords

Dynamical System Invariant Measure Ergodic Theory Dimensional System Stokes System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Nader Masmoudi
    • 1
  • Lai-Sang Young
    • 1
  1. 1.Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, NY 10012, USA.¶ E-mail: masmoudi@cims.nyu.edu; lsy@cims.nyu.eduUS

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