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Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains

Author

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  • Qiuying Lu
  • Guifeng Deng
  • Weipeng Zhang

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.

Suggested Citation

  • Qiuying Lu & Guifeng Deng & Weipeng Zhang, 2014. "Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-12, June.
    • Handle: RePEc:hin:jnlaaa:428685
    DOI: 10.1155/2014/428685
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    Cited by:

    1. Hong Lu & Linlin Wang & Mingji Zhang, 2022. "Dynamics of Fractional Stochastic Ginzburg–Landau Equation Driven by Nonlinear Noise," Mathematics, MDPI, vol. 10(23), pages 1-36, November.

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