Pullback Attractor for Nonautonomous Ginzburg‐Landau Equation with Additive Noise

Yangrong Li and Hongyong Cui

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

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 I in R. By making use of Sobolev embeddings and Gialiardo‐Nirenberg inequality we obtain the existence and upper semicontinuity of the pullback attractor in L2(I) for the equation. The upper semicontinuity shows the stability of attractors under perturbations.

Date: 2014
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https://doi.org/10.1155/2014/921750

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:921750

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