Weakly Compact Uniform Attractor for the Nonautonomous Long-Short Wave Equations
Solutions and weakly compact uniform attractor for the nonautonomous long-short wave equations with translation compact forces were studied in a bounded domain. We first established the existence and the uniqueness of the solution to the system by using Galerkin method and then obtained the uniform...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/601325 |
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| _version_ | 1832550334177738752 |
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| author | Hongyong Cui Jie Xin Anran Li |
| author_facet | Hongyong Cui Jie Xin Anran Li |
| author_sort | Hongyong Cui |
| collection | DOAJ |
| description | Solutions and weakly compact uniform attractor for the
nonautonomous long-short wave equations with translation compact forces were studied in
a bounded domain. We first established the existence and the uniqueness of the solution to
the system by using Galerkin method and then obtained the uniform absorbing set and the
weakly compact uniform attractor of the problem by applying techniques of constructing
skew product flow in the extended phase space. |
| format | Article |
| id | doaj-art-17e320d4ac32417eac2cf3fd9e897c24 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-17e320d4ac32417eac2cf3fd9e897c242025-02-03T06:06:59ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/601325601325Weakly Compact Uniform Attractor for the Nonautonomous Long-Short Wave EquationsHongyong Cui0Jie Xin1Anran Li2School of Mathematics and Information, Ludong University, Yantai, 264025, ChinaSchool of Mathematics and Information, Ludong University, Yantai, 264025, ChinaSchool of Mathematics and Information, Ludong University, Yantai, 264025, ChinaSolutions and weakly compact uniform attractor for the nonautonomous long-short wave equations with translation compact forces were studied in a bounded domain. We first established the existence and the uniqueness of the solution to the system by using Galerkin method and then obtained the uniform absorbing set and the weakly compact uniform attractor of the problem by applying techniques of constructing skew product flow in the extended phase space.http://dx.doi.org/10.1155/2013/601325 |
| spellingShingle | Hongyong Cui Jie Xin Anran Li Weakly Compact Uniform Attractor for the Nonautonomous Long-Short Wave Equations Abstract and Applied Analysis |
| title | Weakly Compact Uniform Attractor for the Nonautonomous Long-Short Wave Equations |
| title_full | Weakly Compact Uniform Attractor for the Nonautonomous Long-Short Wave Equations |
| title_fullStr | Weakly Compact Uniform Attractor for the Nonautonomous Long-Short Wave Equations |
| title_full_unstemmed | Weakly Compact Uniform Attractor for the Nonautonomous Long-Short Wave Equations |
| title_short | Weakly Compact Uniform Attractor for the Nonautonomous Long-Short Wave Equations |
| title_sort | weakly compact uniform attractor for the nonautonomous long short wave equations |
| url | http://dx.doi.org/10.1155/2013/601325 |
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