Global Mild Solutions and Attractors for Stochastic Viscous Cahn-Hilliard Equation
This paper is devoted to the study of mild solutions for the initial and boundary value problem of stochastic viscous Cahn-Hilliard equation driven by white noise. Under reasonable assumptions we first prove the existence and uniqueness result. Then, we show that the existence of a stochastic global...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/670786 |
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| _version_ | 1832553566235000832 |
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| author | Xuewei Ju Hongli Wang Desheng Li Jinqiao Duan |
| author_facet | Xuewei Ju Hongli Wang Desheng Li Jinqiao Duan |
| author_sort | Xuewei Ju |
| collection | DOAJ |
| description | This paper is devoted to the study of mild solutions for the initial and boundary value problem of stochastic viscous Cahn-Hilliard equation driven by white noise. Under reasonable assumptions we first prove the existence and uniqueness result. Then, we show that the existence of a stochastic global attractor which pullback attracts each bounded set in appropriate phase spaces. |
| format | Article |
| id | doaj-art-b50fb3ea7c104a87a38cd8a46764b58e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b50fb3ea7c104a87a38cd8a46764b58e2025-02-03T05:53:49ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/670786670786Global Mild Solutions and Attractors for Stochastic Viscous Cahn-Hilliard EquationXuewei Ju0Hongli Wang1Desheng Li2Jinqiao Duan3Department of Mechanic, Mechanical College, Tianjin University, Tianjin 300072, ChinaDepartment of Mechanic, Mechanical College, Tianjin University, Tianjin 300072, ChinaDepartment of Mathematics, School of Science, Tianjin University, Tianjin 300072, ChinaDepartment of Applied Mathematics, Illinois Institute of Technology, Chicago, IL 60616, USAThis paper is devoted to the study of mild solutions for the initial and boundary value problem of stochastic viscous Cahn-Hilliard equation driven by white noise. Under reasonable assumptions we first prove the existence and uniqueness result. Then, we show that the existence of a stochastic global attractor which pullback attracts each bounded set in appropriate phase spaces.http://dx.doi.org/10.1155/2011/670786 |
| spellingShingle | Xuewei Ju Hongli Wang Desheng Li Jinqiao Duan Global Mild Solutions and Attractors for Stochastic Viscous Cahn-Hilliard Equation Abstract and Applied Analysis |
| title | Global Mild Solutions and Attractors for Stochastic Viscous Cahn-Hilliard Equation |
| title_full | Global Mild Solutions and Attractors for Stochastic Viscous Cahn-Hilliard Equation |
| title_fullStr | Global Mild Solutions and Attractors for Stochastic Viscous Cahn-Hilliard Equation |
| title_full_unstemmed | Global Mild Solutions and Attractors for Stochastic Viscous Cahn-Hilliard Equation |
| title_short | Global Mild Solutions and Attractors for Stochastic Viscous Cahn-Hilliard Equation |
| title_sort | global mild solutions and attractors for stochastic viscous cahn hilliard equation |
| url | http://dx.doi.org/10.1155/2011/670786 |
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