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.
Yangrong Li. Hongyong Cui. "Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise." Abstr. Appl. Anal. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/921750