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Random Attractors of Stochastic Three‐Component Reversible Gray‐Scott System on Unbounded Domains

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  • Anhui Gu

Abstract

The existence of a pullback random attractor is established for a stochastic three‐component reversible Gray‐Scott system on unbounded domains. The Gray‐Scott system is recast as a random dynamical system and asymptotic compactness which is illustrated by using uniform, a priori estimates for far‐field values of solutions and a cutoff technique.

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Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:419472
DOI: 10.1155/2012/419472
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