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Uniformly Random Attractor for the Three-Dimensional Stochastic Nonautonomous Camassa-Holm Equations

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  • Zhehao Huang
  • Zhengrong Liu

Abstract

We consider the uniformly random attractor for the three-dimensional stochastic nonautonomous Camassa-Holm equations in the periodic box in this paper. We associate with the concepts of uniform attractor and random attractor and produce the concept of uniformly random attractor for a process. Then we establish the existence of the uniformly random attractor in and for the equations.

Suggested Citation

  • Zhehao Huang & Zhengrong Liu, 2013. "Uniformly Random Attractor for the Three-Dimensional Stochastic Nonautonomous Camassa-Holm Equations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-17, September.
  • Handle: RePEc:hin:jnlaaa:492847
    DOI: 10.1155/2013/492847
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