Random Attractors for Stochastic Ginzburg‐Landau Equation on Unbounded Domains

Qiuying Lu, Guifeng Deng and Weipeng Zhang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We prove the existence of a pullback attractor in L2(ℝn) for the stochastic Ginzburg‐Landau equation with additive noise on the entire n‐dimensional space ℝn. 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 D‐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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https://doi.org/10.1155/2014/428685

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:428685

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