Open AccessWeak pullback attractors for stochastic Ginzburg-Landau equations in Bochner spaces
Author(s) -
Lu Zhang,
Aihong Zou,
Tao Yan,
Ji Shu
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021063
Subject(s) - pullback , uniqueness , attractor , pullback attractor , mathematics , bochner space , mathematical analysis , nonlinear system , pure mathematics , physics , banach space , quantum mechanics , lp space , banach manifold
In this paper we discuss the weak pullback mean random attractors for stochastic Ginzburg-Landau equations defined in Bochner spaces. We prove the existence and uniqueness of weak pullback mean random attractors for the stochastic Ginzburg-Landau equations with nonlinear diffusion terms. We also establish the existence and uniqueness of such attractors for the deterministic Ginzburg-Landau equations with random initial data. In this case, the periodicity of the weak pullback mean random attractors is also proved whenever the external forcing terms are periodic in time.