Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise

Yangrong Li and Hongyong Cui

Abstract and Applied Analysis, 2014, vol. 2014, 1-10

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:921750

DOI: 10.1155/2014/921750

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