Random attractors for the stochastic Benjamin-Bona-Mahony equation on unbounded domains

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:246

Article

Wang, Bixiang

关键词: Stochastic Benjamin-Bona-Mahony equation;    Random attractor;    Pullback attractor;    Asymptotic compactness;   

DOI  :  10.1016/j.jde.2008.10.012

来源: Elsevier

【 摘 要 】

We prove the existence of a compact random attractor for the stochastic Benjamin-Bona-Mahony equation defined on an unbounded domain. This random attractor is invariant and attracts every pulled-back tempered random set under the forward flow. The asymptotic compactness of the random dynamical system is established by a tail-estimates method, which shows that the solutions are uniformly asymptotically small when space and time variables approach infinity. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free