Pullback attractor for nonautonomous Ginzburg-Landau equation with additive noise
Summary: 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 \(\mathcal{I}\) in \(\mathbb{R}\). By making use of Sobolev embeddings and Gialiardo-Nirenberg inequality we obtain the existence and upper semicontinuity of the pullback attractor in \(L^2(\mathcal{I})\) for the equation. The upper semicontinuity shows the stability of attractors under perturbations.
scientific article; zbMATH DE number 7023313