Pullback Attractor for Nonautonomous Ginzburg-Landau Equation with Additive Noise

الملخص EN

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.