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Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains

Qiuying Lu, Guifeng Deng and Weipeng Zhang

Abstract and Applied Analysis, 2014, vol. 2014, 1-12

Abstract:

We prove the existence of a pullback attractor in for the stochastic Ginzburg-Landau equation with additive noise on the entire n -dimensional space . We show that the stochastic Ginzburg-Landau equation with additive noise can be recast as a random dynamical system. We demonstrate that the system possesses a unique -random attractor, for which the asymptotic compactness is established by the method of uniform estimates on the tails of its solutions.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:428685

DOI: 10.1155/2014/428685

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