Abstract and Applied Analysis

Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains

Qiuying Lu, Guifeng Deng, and Weipeng Zhang

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Abstract

We prove the existence of a pullback attractor in L 2 ( n ) for the stochastic Ginzburg-Landau equation with additive noise on the entire n-dimensional space n . 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.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 428685, 12 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412277027

Digital Object Identifier
doi:10.1155/2014/428685

Mathematical Reviews number (MathSciNet)
MR3219371

Zentralblatt MATH identifier
07022375

Citation

Lu, Qiuying; Deng, Guifeng; Zhang, Weipeng. Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains. Abstr. Appl. Anal. 2014 (2014), Article ID 428685, 12 pages. doi:10.1155/2014/428685. https://projecteuclid.org/euclid.aaa/1412277027


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