Regular random attractors for non-autonomous stochastic evolution equations with time-varying delays on thin domains
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DOI: 10.1063/5.0010398
Abstract: This paper deals with the limiting dynamical behavior of non-autonomous stochastic reaction–diffusion equations with time-varying delays on thin domains. First, we prove the existence and uniqueness of the regular random attractor. Then, we prove the… read more here.
Keywords: thin domains; autonomous stochastic; time varying; non autonomous ... See more keywords
Asymptotic behavior of non-autonomous stochastic complex Ginzburg–Landau equations on unbounded thin domains
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DOI: 10.1063/5.0037663
Abstract: This paper mainly investigates the asymptotic behavior of non-autonomous stochastic complex Ginzburg–Landau equations on unbounded thin domains. We first prove the existence and uniqueness of random attractors for the considered equation and its limit equation.… read more here.
Keywords: asymptotic behavior; thin domains; autonomous stochastic; stochastic complex ... 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
Random attractors for non-autonomous stochastic wave equations with nonlinear damping and white noise
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DOI: 10.1186/s13662-020-02664-3
Abstract: This paper is concerned with the asymptotic behavior of solutions to a non-autonomous stochastic wave equation with additive white noise, for which the nonlinear damping has a critical cubic growth rate. By showing the pullback… read more here.
Keywords: autonomous stochastic; non autonomous; nonlinear damping; stochastic wave ... See more keywords