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Conceptual analysis and random attractor for dissipative random dynamical systems

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Publication details

JournalActa mathematica scientia
DatePublished - Apr 2008
Issue number2
Volume28
Number of pages16
Pages (from-to)253-268
Original languageEnglish

Abstract

The aim of this work is to understand better the long time behaviour of asymptotically compact random dynamical systems (RDS), which can be generated by solutions of some stochastic partial differential equations on unbounded domains. The conceptual analysis for the long time behavior of RDS will be done through some examples. An application of those analysis will be demonstrated through the proof of the existence of random attractors for asymptotically compact dissipative RDS.

    Research areas

  • random dynamical systems, asymptotic compactness, dissipativity, random attractor, Sobolev compact embedding, UNBOUNDED-DOMAINS, GLOBAL ATTRACTOR, STOKES EQUATIONS

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