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Asymptotic behavior for stochastic plate equations with rotational inertia and Kelvin-Voigt dissipative term on unbounded domains

Xiaobin Yao, Qiaozhen Ma, Tingting Liu
2017 Discrete and continuous dynamical systems. Series B  

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In this paper we study asymptotic behavior of a class of stochastic plate equations with rotational inertia and Kelvin-Voigt dissipative term. First we introduce a continuous random dynamical system for the equation and establish the pullback asymptotic compactness of solutions. Second we consider the existence and upper semicontinuity of random attractors for the equation. 2010 Mathematics Subject Classification. Primary: 35B25, 37L30; Secondary: 45K05.
doi:10.3934/dcdsb.2018247 fatcat:tjxthsktprgavh6nciqpumqn6m
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Xiaobin Yao, Qiaozhen Ma, Tingting Liu. "Asymptotic behavior for stochastic plate equations with rotational inertia and Kelvin-Voigt dissipative term on unbounded domains." Discrete and continuous dynamical systems. Series B 22.11 (2017) 1-29