Asymptotic behavior of random coupled Ginzburg-Landau equation driven by
colored noise on unbounded domains
Abstract
In this paper, random coupled Ginzburg-Landau equation driven by colored
noise on unbounded domains is considered, in which nonlinear term
satisfies local Lipschitz condition. It is shown that random attractor
of such coupled Ginzburg-Landau equation is singleton set, and the
components of solutions are very close when the coupling parameter
becomes large enough.