On the Cauchy problem for a generalized Boussinesq equation
In this paper, we consider the Cauchy problem for a generalized Boussinesq equation. We show that, under suitable conditions, a global solution for the initial value problem exists. In addition, we derive the sufficient conditions for the blow-up of the solution to the problem.
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2009
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| Online Access: | http://hdl.handle.net/20.500.11937/32885 |
| _version_ | 1848753788987375616 |
|---|---|
| author | Lin, Qun Wu, Yong Hong Loxton, Ryan |
| author_facet | Lin, Qun Wu, Yong Hong Loxton, Ryan |
| author_sort | Lin, Qun |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we consider the Cauchy problem for a generalized Boussinesq equation. We show that, under suitable conditions, a global solution for the initial value problem exists. In addition, we derive the sufficient conditions for the blow-up of the solution to the problem. |
| first_indexed | 2025-11-14T08:30:05Z |
| format | Journal Article |
| id | curtin-20.500.11937-32885 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:30:05Z |
| publishDate | 2009 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-328852019-02-19T04:27:35Z On the Cauchy problem for a generalized Boussinesq equation Lin, Qun Wu, Yong Hong Loxton, Ryan In this paper, we consider the Cauchy problem for a generalized Boussinesq equation. We show that, under suitable conditions, a global solution for the initial value problem exists. In addition, we derive the sufficient conditions for the blow-up of the solution to the problem. 2009 Journal Article http://hdl.handle.net/20.500.11937/32885 10.1016/j.jmaa.2008.12.002 Elsevier fulltext |
| spellingShingle | Lin, Qun Wu, Yong Hong Loxton, Ryan On the Cauchy problem for a generalized Boussinesq equation |
| title | On the Cauchy problem for a generalized Boussinesq equation |
| title_full | On the Cauchy problem for a generalized Boussinesq equation |
| title_fullStr | On the Cauchy problem for a generalized Boussinesq equation |
| title_full_unstemmed | On the Cauchy problem for a generalized Boussinesq equation |
| title_short | On the Cauchy problem for a generalized Boussinesq equation |
| title_sort | on the cauchy problem for a generalized boussinesq equation |
| url | http://hdl.handle.net/20.500.11937/32885 |