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Attractors for random dynamical systems
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  • Published: September 1994

Attractors for random dynamical systems

  • Hans Crauel1 &
  • Franco Flandoli2 

Probability Theory and Related Fields volume 100, pages 365–393 (1994)Cite this article

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Summary

A criterion for existence of global random attractors for RDS is established. Existence of invariant Markov measures supported by the random attractor is proved. For SPDE this yields invariant measures for the associated Markov semigroup. The results are applied to reation diffusion equations with additive white noise and to Navier-Stokes equations with multiplicative and with additive white noise.

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Authors and Affiliations

  1. Fachbereich Mathematik, Universität des Saarlandes, D-66041, Saarbrücken, Germany

    Hans Crauel

  2. Scuola Normale Superiore, Piazza dei Cavalieri 7, I-56126, Pisa, Italy

    Franco Flandoli

Authors
  1. Hans Crauel
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  2. Franco Flandoli
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Crauel, H., Flandoli, F. Attractors for random dynamical systems. Probab. Th. Rel. Fields 100, 365–393 (1994). https://doi.org/10.1007/BF01193705

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  • Received: 17 November 1992

  • Revised: 06 April 1994

  • Issue Date: September 1994

  • DOI: https://doi.org/10.1007/BF01193705

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Mathematics Subject Classification

  • 58F11
  • 58F12
  • 34D45
  • 35Q30
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