The global weak solution for the shallow water wave model of moderate amplitude
© 2016 Taylor & Francis. In this paper, we firstly establish the existence theorem of the global weak solutions of the Cauchy problem for the shallow water wave model of moderate amplitude, then following the idea in Xin and Zhang’s work (see Xin and Zhang, 2002), we prove the uniqueness of gl...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Taylor & Francis
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/58173 |
| _version_ | 1848760194359623680 |
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| author | Guo, Y. Wu, Yong Hong Lai, S. Caccetta, Louis |
| author_facet | Guo, Y. Wu, Yong Hong Lai, S. Caccetta, Louis |
| author_sort | Guo, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2016 Taylor & Francis. In this paper, we firstly establish the existence theorem of the global weak solutions of the Cauchy problem for the shallow water wave model of moderate amplitude, then following the idea in Xin and Zhang’s work (see Xin and Zhang, 2002), we prove the uniqueness of global weak solutions using the localization analysis in the transport equation theory. Finally, several travelling wave solutions are derived. |
| first_indexed | 2025-11-14T10:11:54Z |
| format | Journal Article |
| id | curtin-20.500.11937-58173 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:11:54Z |
| publishDate | 2017 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-581732017-11-24T05:45:55Z The global weak solution for the shallow water wave model of moderate amplitude Guo, Y. Wu, Yong Hong Lai, S. Caccetta, Louis © 2016 Taylor & Francis. In this paper, we firstly establish the existence theorem of the global weak solutions of the Cauchy problem for the shallow water wave model of moderate amplitude, then following the idea in Xin and Zhang’s work (see Xin and Zhang, 2002), we prove the uniqueness of global weak solutions using the localization analysis in the transport equation theory. Finally, several travelling wave solutions are derived. 2017 Journal Article http://hdl.handle.net/20.500.11937/58173 10.1080/00036811.2016.1151496 Taylor & Francis restricted |
| spellingShingle | Guo, Y. Wu, Yong Hong Lai, S. Caccetta, Louis The global weak solution for the shallow water wave model of moderate amplitude |
| title | The global weak solution for the shallow water wave model of moderate amplitude |
| title_full | The global weak solution for the shallow water wave model of moderate amplitude |
| title_fullStr | The global weak solution for the shallow water wave model of moderate amplitude |
| title_full_unstemmed | The global weak solution for the shallow water wave model of moderate amplitude |
| title_short | The global weak solution for the shallow water wave model of moderate amplitude |
| title_sort | global weak solution for the shallow water wave model of moderate amplitude |
| url | http://hdl.handle.net/20.500.11937/58173 |