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Random attractors for the stochastic Benjamin–Bona–Mahony equation on unbounded domains
- Source :
-
Journal of Differential Equations . Mar2009, Vol. 246 Issue 6, p2506-2537. 32p. - Publication Year :
- 2009
-
Abstract
- Abstract: 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 246
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 36549094
- Full Text :
- https://doi.org/10.1016/j.jde.2008.10.012