Upper Semicontinuity of Random Attractors for Nonautonomous Stochastic Reversible Selkov System with Multiplicative Noise
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...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/2763245 |
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| _version_ | 1832547152980606976 |
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| author | Chunxiao Guo Yanfeng Guo Xiaohan Li |
| author_facet | Chunxiao Guo Yanfeng Guo Xiaohan Li |
| author_sort | Chunxiao Guo |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-6f9d61bbff1d4a71a1a50b3b2af182e0 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-6f9d61bbff1d4a71a1a50b3b2af182e02025-02-03T06:45:56ZengWileyAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/27632452763245Upper Semicontinuity of Random Attractors for Nonautonomous Stochastic Reversible Selkov System with Multiplicative NoiseChunxiao Guo0Yanfeng Guo1Xiaohan Li2Department of Mathematics, China University of Mining and Technology, Beijing, Beijing 100083, ChinaSchool of Science, Guangxi University of Science and Technology, Liuzhou, Guangxi 545006, ChinaDepartment of Mathematics, China University of Mining and Technology, Beijing, Beijing 100083, ChinaIn 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.http://dx.doi.org/10.1155/2019/2763245 |
| spellingShingle | Chunxiao Guo Yanfeng Guo Xiaohan Li Upper Semicontinuity of Random Attractors for Nonautonomous Stochastic Reversible Selkov System with Multiplicative Noise Advances in Mathematical Physics |
| title | Upper Semicontinuity of Random Attractors for Nonautonomous Stochastic Reversible Selkov System with Multiplicative Noise |
| title_full | Upper Semicontinuity of Random Attractors for Nonautonomous Stochastic Reversible Selkov System with Multiplicative Noise |
| title_fullStr | Upper Semicontinuity of Random Attractors for Nonautonomous Stochastic Reversible Selkov System with Multiplicative Noise |
| title_full_unstemmed | Upper Semicontinuity of Random Attractors for Nonautonomous Stochastic Reversible Selkov System with Multiplicative Noise |
| title_short | Upper Semicontinuity of Random Attractors for Nonautonomous Stochastic Reversible Selkov System with Multiplicative Noise |
| title_sort | upper semicontinuity of random attractors for nonautonomous stochastic reversible selkov system with multiplicative noise |
| url | http://dx.doi.org/10.1155/2019/2763245 |
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