Weak pullback attractors for stochastic Ginzburg-Landau equations in Bochner spaces
The authors introduce a stochastic PDE of Ginzburg-Landau type involving a nonlinear diffusion term and a Wiener process defined on a complete filtered probability space, which may account for noises related to the presence of uncertainties or random influences. Existence and uniqueness of special attractors (weak pullback mean random attractors) is established in a stochastic setting, in a deterministic setting with random initial data and in a periodic setting where the external forcing terms are periodic in time.
scientific article; zbMATH DE number 7461155
scientific article