Random attractors for the stochastic Benjamin-Bona-Mahony equation on unbounded domains |
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Authors: | Bixiang Wang |
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Institution: | Department of Mathematics, New Mexico Institute of Mining and Technology, Socorro, NM 87801, USA |
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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. |
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Keywords: | primary 60H15 secondary 35B40 35B41 |
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