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

Zhehao Huang and Zhengrong Liu

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We consider the uniformly random attractor for the three‐dimensional stochastic nonautonomous Camassa‐Holm equations in the periodic box [0, l]3 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 D(A1/2) and D(A) for the equations.

Date: 2013
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https://doi.org/10.1155/2013/492847

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:492847

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