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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| Format: | Article |
| Language: | English |
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Hindawi Limited
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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doaj-def0a1f53601408fad69dd3bcacbf9af2020-11-24T23:15:58ZengHindawi LimitedAbstract 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mingxuan Zhu Liangbing Jin Zaihong Jiang |
| spellingShingle |
Mingxuan Zhu Liangbing Jin Zaihong Jiang A New Blow-Up Criterion for the DGH Equation Abstract and Applied Analysis |
| author_facet |
Mingxuan Zhu Liangbing Jin Zaihong Jiang |
| author_sort |
Mingxuan Zhu |
| title |
A New Blow-Up Criterion for the DGH Equation |
| title_short |
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_sort |
new blow-up criterion for the dgh equation |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2012-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2012/515948 |
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