Abstract
We prove the existence of a pullback attractor in for the stochastic Ginzburg-Landau equation with additive noise on the entire n-dimensional space . We show that the stochastic Ginzburg-Landau equation with additive noise can be recast as a random dynamical system. We demonstrate that the system possesses a unique -random attractor, for which the asymptotic compactness is established by the method of uniform estimates on the tails of its solutions.
Citation
Qiuying Lu. Guifeng Deng. Weipeng Zhang. "Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains." Abstr. Appl. Anal. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/428685