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• W3016110557 abstract "In this paper we discuss the Wong-Zakai approximations given by a stationary process via the Wiener shift and their associated long term pathwise behavior for stochastic Ginzburg-Landau equations driven by a white noise. We first apply the Galerkin method and compactness argument to prove the existence and uniqueness of weak solutions. Consequently, we show that the approximate equation has a pullback random attractor under much weaker conditions than the original stochastic equation. At last, when the stochastic Ginzburg-Landau equation is driven by a linear multiplicative noise, we establish the convergence of solutions of Wong-Zakai approximations and the upper semicontinuity of random attractors of the approximate random system as the size of approximation approaches zero." @default.
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• W3016110557 date "2017-01-01" @default.
• W3016110557 modified "2023-10-18" @default.
• W3016110557 title "Wong-Zakai approximations and asymptotic behavior of stochastic Ginzburg-Landau equations" @default.
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• W3016110557 doi "https://doi.org/10.3934/dcdsb.2020100" @default.
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