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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.

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Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, NY 10012, USA.¶ E-mail: masmoudi@cims.nyu.edu; lsy@cims.nyu.edu, , , , , , US

    Nader Masmoudi & Lai-Sang Young

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  1. Nader Masmoudi
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  2. Lai-Sang Young
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Received: 15 May 2001 / Accepted: 30 November 2001

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Masmoudi, N., Young, LS. Ergodic Theory of Infinite Dimensional Systems¶with Applications to Dissipative Parabolic PDEs. Commun. Math. Phys. 227, 461–481 (2002). https://doi.org/10.1007/s002200200639

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  • DOI: https://doi.org/10.1007/s002200200639

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