Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg Equation
Some dynamics behaviors for the nonautonomous stochastic fifth-order Swift–Hohenberg equation with additive white noise are considered. The existence of pullback random attractors for the nonautonomous stochastic fifth-order Swift–Hohenberg equation with some properties is mainly investigated on the...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/8864585 |
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| _version_ | 1849468894275698688 |
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| author | Yanfeng Guo Chunxiao Guo Yongping Xi |
| author_facet | Yanfeng Guo Chunxiao Guo Yongping Xi |
| author_sort | Yanfeng Guo |
| collection | DOAJ |
| description | Some dynamics behaviors for the nonautonomous stochastic fifth-order Swift–Hohenberg equation with additive white noise are considered. The existence of pullback random attractors for the nonautonomous stochastic fifth-order Swift–Hohenberg equation with some properties is mainly investigated on the bounded domain and unbounded domain, through the Ornstein–Uhlenbeck transformation and tail-term estimates. Furthermore, on the basis of some conditions, the finiteness of fractal dimension of random attractor is proved. |
| format | Article |
| id | doaj-art-ff2e1e994a794d7a857dc8e05f8c78b4 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-ff2e1e994a794d7a857dc8e05f8c78b42025-08-20T03:25:42ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/88645858864585Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg EquationYanfeng Guo0Chunxiao Guo1Yongping Xi2School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, Hubei, ChinaSchool of Science, China University of Mining and Technology, Beijing 100083, ChinaSchool of Science, China University of Mining and Technology, Beijing 100083, ChinaSome dynamics behaviors for the nonautonomous stochastic fifth-order Swift–Hohenberg equation with additive white noise are considered. The existence of pullback random attractors for the nonautonomous stochastic fifth-order Swift–Hohenberg equation with some properties is mainly investigated on the bounded domain and unbounded domain, through the Ornstein–Uhlenbeck transformation and tail-term estimates. Furthermore, on the basis of some conditions, the finiteness of fractal dimension of random attractor is proved.http://dx.doi.org/10.1155/2020/8864585 |
| spellingShingle | Yanfeng Guo Chunxiao Guo Yongping Xi Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg Equation Complexity |
| title | Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg Equation |
| title_full | Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg Equation |
| title_fullStr | Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg Equation |
| title_full_unstemmed | Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg Equation |
| title_short | Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg Equation |
| title_sort | fractal dimension for the nonautonomous stochastic fifth order swift hohenberg equation |
| url | http://dx.doi.org/10.1155/2020/8864585 |
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