Blow-up Phenomena and Persistence Properties of Solutions to the Two-Component DGH Equation
This paper is concerned with blow-up phenomena and persistence properties for an integrable two-component Dullin-Gottwald-Holm shallow water system. We give sufficient conditions on the initial data which guarantee blow-up phenomena of solutions in finite time for both periodic and nonperiodic cases...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/750315 |
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| _version_ | 1849405170503385088 |
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| author | Panpan Zhai Zhengguang Guo Weiming Wang |
| author_facet | Panpan Zhai Zhengguang Guo Weiming Wang |
| author_sort | Panpan Zhai |
| collection | DOAJ |
| description | This paper is concerned with blow-up phenomena and persistence properties for an integrable two-component Dullin-Gottwald-Holm shallow water system. We give sufficient conditions on the initial data which guarantee blow-up phenomena of solutions in finite time for both periodic and nonperiodic cases, respectively. Furthermore, the persistence properties of solutions to the system are investigated. |
| format | Article |
| id | doaj-art-44c8f82c208b4ab995bd2c47a703f7bd |
| 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-44c8f82c208b4ab995bd2c47a703f7bd2025-08-20T03:36:45ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/750315750315Blow-up Phenomena and Persistence Properties of Solutions to the Two-Component DGH EquationPanpan Zhai0Zhengguang Guo1Weiming Wang2College of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, ChinaCollege of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, ChinaCollege of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, ChinaThis paper is concerned with blow-up phenomena and persistence properties for an integrable two-component Dullin-Gottwald-Holm shallow water system. We give sufficient conditions on the initial data which guarantee blow-up phenomena of solutions in finite time for both periodic and nonperiodic cases, respectively. Furthermore, the persistence properties of solutions to the system are investigated.http://dx.doi.org/10.1155/2013/750315 |
| spellingShingle | Panpan Zhai Zhengguang Guo Weiming Wang Blow-up Phenomena and Persistence Properties of Solutions to the Two-Component DGH Equation Abstract and Applied Analysis |
| title | Blow-up Phenomena and Persistence Properties of Solutions to the Two-Component DGH Equation |
| title_full | Blow-up Phenomena and Persistence Properties of Solutions to the Two-Component DGH Equation |
| title_fullStr | Blow-up Phenomena and Persistence Properties of Solutions to the Two-Component DGH Equation |
| title_full_unstemmed | Blow-up Phenomena and Persistence Properties of Solutions to the Two-Component DGH Equation |
| title_short | Blow-up Phenomena and Persistence Properties of Solutions to the Two-Component DGH Equation |
| title_sort | blow up phenomena and persistence properties of solutions to the two component dgh equation |
| url | http://dx.doi.org/10.1155/2013/750315 |
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