Initial Boundary Value Problem and Asymptotic Stabilization of the Two-Component Camassa-Holm Equation
The nonhomogeneous initial boundary value problem for the two-component Camassa-Holm equation, which describes a generalized formulation for the shallow water wave equation, on an interval is investigated. A local in time existence theorem and a uniqueness result are achieved. Next by using the fixe...
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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/10.1155/2011/635851 |
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| _version_ | 1850120273626398720 |
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| author | Xiju Zong Xingong Cheng Zhonghua Wang Zhenlai Han |
| author_facet | Xiju Zong Xingong Cheng Zhonghua Wang Zhenlai Han |
| author_sort | Xiju Zong |
| collection | DOAJ |
| description | The nonhomogeneous initial boundary value problem for the two-component Camassa-Holm equation, which describes a generalized formulation for the shallow water wave equation, on an interval is investigated. A local in time existence theorem and a uniqueness result are achieved. Next by using the fixed-point technique, a result on the global asymptotic stabilization problem by means of a boundary feedback law is considered. |
| format | Article |
| id | doaj-art-692bc87cf9b44b319b1cf36df57eeba0 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-692bc87cf9b44b319b1cf36df57eeba02025-08-20T02:35:24ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/635851635851Initial Boundary Value Problem and Asymptotic Stabilization of the Two-Component Camassa-Holm EquationXiju Zong0Xingong Cheng1Zhonghua Wang2Zhenlai Han3School of Control Science & Engineering, University of Jinan, Jinan 250022, Shandong, ChinaSchool of Control Science & Engineering, University of Jinan, Jinan 250022, Shandong, ChinaSchool of Control Science & Engineering, University of Jinan, Jinan 250022, Shandong, ChinaSchool of Science, University of Jinan, Jinan 250022, ChinaThe nonhomogeneous initial boundary value problem for the two-component Camassa-Holm equation, which describes a generalized formulation for the shallow water wave equation, on an interval is investigated. A local in time existence theorem and a uniqueness result are achieved. Next by using the fixed-point technique, a result on the global asymptotic stabilization problem by means of a boundary feedback law is considered.http://dx.doi.org/10.1155/2011/635851 |
| spellingShingle | Xiju Zong Xingong Cheng Zhonghua Wang Zhenlai Han Initial Boundary Value Problem and Asymptotic Stabilization of the Two-Component Camassa-Holm Equation Abstract and Applied Analysis |
| title | Initial Boundary Value Problem and Asymptotic Stabilization of the Two-Component Camassa-Holm Equation |
| title_full | Initial Boundary Value Problem and Asymptotic Stabilization of the Two-Component Camassa-Holm Equation |
| title_fullStr | Initial Boundary Value Problem and Asymptotic Stabilization of the Two-Component Camassa-Holm Equation |
| title_full_unstemmed | Initial Boundary Value Problem and Asymptotic Stabilization of the Two-Component Camassa-Holm Equation |
| title_short | Initial Boundary Value Problem and Asymptotic Stabilization of the Two-Component Camassa-Holm Equation |
| title_sort | initial boundary value problem and asymptotic stabilization of the two component camassa holm equation |
| url | http://dx.doi.org/10.1155/2011/635851 |
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