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Random attractors of boussinesq equations with multiplicative noise

Acta Mathematica Sinica, English Series volume 25, pages 481–490 (2009)Cite this article

Abstract

We study the random dynamical system (RDS) generated by the Benald flow problem with multiplicative noise and prove the existence of a compact random attractor for such RDS.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Southwest China University, Chongqing, 400715, P. R. China

    Yang Rong Li

  2. Center for Nonlinear Study, Institute of Beijing Applied Physics and Computational Mathematics, Beijing, 100088, P. R. China

    Bo Ling Guo

Authors
  1. Yang Rong Li
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  2. Bo Ling Guo
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Correspondence to Yang Rong Li.

Additional information

Supported by the China Postdoctoral Science Foundation (No. 2005038326)

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Li, Y.R., Guo, B.L. Random attractors of boussinesq equations with multiplicative noise. Acta. Math. Sin.-English Ser. 25, 481–490 (2009). https://doi.org/10.1007/s10114-008-6226-0

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  • DOI: https://doi.org/10.1007/s10114-008-6226-0

Keywords

  • random dynamical systems
  • random attractor
  • Boussinesq equation
  • white noise
  • Wiener process

MR(2000) Subject Classification

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