Upper Semicontinuity of Random Attractors for Nonautonomous Stochastic Reversible Selkov System with Multiplicative Noise

Author:

Guo Chunxiao1ORCID,Guo Yanfeng23ORCID,Li Xiaohan1

Affiliation:

1. Department of Mathematics, China University of Mining and Technology, Beijing, Beijing 100083, China

2. School of Science, Guangxi University of Science and Technology, Liuzhou, Guangxi 545006, China

3. School of Mathematics and Physics, China University of Geosciences, Wuhan, Hubei 430074, China

Abstract

In this paper, the existence of random attractors for nonautonomous stochastic reversible Selkov system with multiplicative noise has been proved through Ornstein-Uhlenbeck transformation. Furthermore, the upper semicontinuity of random attractors is discussed when the intensity of noise approaches zero. The main difficulty is to prove the asymptotic compactness for establishing the existence of tempered pullback random attractor.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

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