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

Xiaobin Yao; Qiaozhen Ma; Tingting Liu

doi:10.3934/dcdsb.2018247

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2019, Volume 24, Issue 4: 1889-1917. Doi: 10.3934/dcdsb.2018247

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

School of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

* Corresponding author
* Corresponding author

Received: January 2018

Revised: May 2018

Early access: August 2018

Published: January 2019

Ma is supported by NSF grant(11561064, 11361053), and partly supported by NWNU-LKQN- 14-6.

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Abstract

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.

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Mathematics Subject Classification: Primary: 35B25, 37L30; Secondary: 45K05.

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