A New Blow-Up Criterion for the DGH Equation
We investigate the DGH equation. Analogous to the Camassa-Holm equation, this equation possesses the blow-up phenomenon. We establish a new blow up criterion on the initial data to guarantee the formulation of singularities in finite time.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/515948 |
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| _version_ | 1832565066803707904 |
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| author | Mingxuan Zhu Liangbing Jin Zaihong Jiang |
| author_facet | Mingxuan Zhu Liangbing Jin Zaihong Jiang |
| author_sort | Mingxuan Zhu |
| collection | DOAJ |
| description | We investigate the DGH equation. Analogous to the Camassa-Holm equation, this equation possesses the blow-up phenomenon. We establish a new blow up criterion on the initial data to guarantee the formulation of singularities in finite time. |
| format | Article |
| id | doaj-art-def0a1f53601408fad69dd3bcacbf9af |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-def0a1f53601408fad69dd3bcacbf9af2025-02-03T01:09:38ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/515948515948A New Blow-Up Criterion for the DGH EquationMingxuan Zhu0Liangbing Jin1Zaihong Jiang2Department of Mathematics, Zhejiang Normal University, Zhejiang, Jinhua 321004, ChinaDepartment of Mathematics, Zhejiang Normal University, Zhejiang, Jinhua 321004, ChinaDepartment of Mathematics, Zhejiang Normal University, Zhejiang, Jinhua 321004, ChinaWe investigate the DGH equation. Analogous to the Camassa-Holm equation, this equation possesses the blow-up phenomenon. We establish a new blow up criterion on the initial data to guarantee the formulation of singularities in finite time.http://dx.doi.org/10.1155/2012/515948 |
| spellingShingle | Mingxuan Zhu Liangbing Jin Zaihong Jiang A New Blow-Up Criterion for the DGH Equation Abstract and Applied Analysis |
| title | A New Blow-Up Criterion for the DGH Equation |
| title_full | A New Blow-Up Criterion for the DGH Equation |
| title_fullStr | A New Blow-Up Criterion for the DGH Equation |
| title_full_unstemmed | A New Blow-Up Criterion for the DGH Equation |
| title_short | A New Blow-Up Criterion for the DGH Equation |
| title_sort | new blow up criterion for the dgh equation |
| url | http://dx.doi.org/10.1155/2012/515948 |
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