DYNAMICS OF KIRCHHOFF TYPE PLATE EQUATIONS WITH NONLINEAR DAMPING DRIVEN BY MULTIPLICATIVE NOISE

Xiaobin Yao

doi:10.11948/20220281

2024 Volume 14 Issue 3

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Xiaobin Yao. DYNAMICS OF KIRCHHOFF TYPE PLATE EQUATIONS WITH NONLINEAR DAMPING DRIVEN BY MULTIPLICATIVE NOISE[J]. Journal of Applied Analysis & Computation, 2024, 14(3): 1148-1176. doi: 10.11948/20220281

Citation:

Xiaobin Yao. DYNAMICS OF KIRCHHOFF TYPE PLATE EQUATIONS WITH NONLINEAR DAMPING DRIVEN BY MULTIPLICATIVE NOISE[J]. Journal of Applied Analysis & Computation, 2024, 14(3): 1148-1176. doi: 10.11948/20220281

DYNAMICS OF KIRCHHOFF TYPE PLATE EQUATIONS WITH NONLINEAR DAMPING DRIVEN BY MULTIPLICATIVE NOISE

Xiaobin Yao^1, ,

1.
School of Mathematics and Statistics, Qinghai Minzu University, Xining 810007, Qinghai, China

Corresponding author: Email: yaoxiaobin2008@163.com(X. Yao)
Fund Project: The authors were supported by National Natural Science Foundation of China (12161071)

Abstract

Abstract

This paper investigates mainly the long term behavior of the kirchhoff type stochastic plate equations with multiplicative noise and nonlinear damping on unbounded domains. Due to the noncompactness of Sobolev embeddings on unbounded domains, pullback asymptotic compactness of random dynamical system associated with such random plate equation is proved by the tail-estimates method. This paper is an extension of [23].
- Pullback attractors /
- plate equation /
- kirchhoff type /
- unbounded domains /
- multiplicative white noise
MSC: 35B40, 35B41

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