Wong–Zakai approximations and random attractors of non-autonomous stochastic discrete complex Ginzburg–Landau equations
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DOI: 10.1063/5.0016914
Abstract: In this paper, we consider the Wong–Zakai approximations and random attractors for stochastic discrete complex Ginzburg–Landau equations driven by nonlinear multiplicative noise. We establish the existence of the random attractor for the approximate system. For… read more here.
Keywords: discrete complex; random attractors; zakai approximations; stochastic discrete ... See more keywords
Wong–Zakai approximations for non-autonomous stochastic parabolic equations with X-elliptic operators in higher regular spaces
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DOI: 10.1063/5.0111876
Abstract: In this paper, we consider the regularity of Wong–Zakai approximations of the non-autonomous stochastic degenerate parabolic equations with X-elliptic operators. We first establish the pullback random attractors for the random degenerate parabolic equations with a… read more here.
Keywords: parabolic equations; wong zakai; non autonomous; autonomous stochastic ... See more keywords
The Wong-Zakai approximations of invariant manifolds for retarded partial differential equations with multiplicative white noise
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DOI: 10.1063/5.0207749
Abstract: We focus on the dynamics and Wong-Zakai approximation for a class of retarded partial differential equations subjected to multiplicative white noise. We show that when restricted to a local region and under certain conditions, there… read more here.
Keywords: invariant manifolds; wong zakai; retarded partial; white noise ... See more keywords
Wong–Zakai approximations and attractors for stochastic degenerate parabolic equations on unbounded domains
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DOI: 10.1142/s0219493721500337
Abstract: The Wong–Zakai approximations given by a stationary process and attractors for stochastic degenerate parabolic equations are considered in this paper. We first establish the existence and uniqueness of tempered pullback attractors for the Wong–Zakai approximations… read more here.
Keywords: stochastic degenerate; zakai approximations; parabolic equations; wong zakai ... See more keywords