Random attractors for the stochastic Benjamin-Bona-Mahony equation on unbounded domains (Q1011480)

The existence of a compact random attractor for the stochastic Benjamin-Bona-Mahony equation defined on an unbounded domain is studied. This random attractor is invariant and attractors 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.