Abstract and Applied Analysis

Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise

Yangrong Li and Hongyong Cui

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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 L 2 ( I ) for the equation. The upper semicontinuity shows the stability of attractors under perturbations.

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Abstr. Appl. Anal., Volume 2014 (2014), Article ID 921750, 10 pages.

First available in Project Euclid: 27 February 2015

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Li, Yangrong; Cui, Hongyong. Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise. Abstr. Appl. Anal. 2014 (2014), Article ID 921750, 10 pages. doi:10.1155/2014/921750. https://projecteuclid.org/euclid.aaa/1425049837

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