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Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise

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  • Yangrong Li
  • Hongyong Cui

Abstract

Long time behavior of stochastic Ginzburg-Landau equations with nonautonomous deterministic external forces, dispersion coefficients, and nonautonomous perturbations is studied. The domain is taken as a bounded interval in . By making use of Sobolev embeddings and Gialiardo-Nirenberg inequality we obtain the existence and upper semicontinuity of the pullback attractor in for the equation. The upper semicontinuity shows the stability of attractors under perturbations.

Suggested Citation

  • Yangrong Li & Hongyong Cui, 2014. "Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, October.
    • Handle: RePEc:hin:jnlaaa:921750
    DOI: 10.1155/2014/921750
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