Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains

Abstract EN

We prove the existence of a pullback attractor in L 2 ( ℝ n ) for the stochastic Ginzburg-Landau equation with additive noise on the entire n-dimensional space ℝ n .

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 D -random attractor, for which the asymptotic compactness is established by the method of uniform estimates on the tails of its solutions.