On weak solutions to a shallow water wave model of moderate amplitude
The existence of global weak solutions for a dissipative model equation for shallow water wave of moderate amplitude is studied in the space C([0, ∞) x R ∩ L ∞((0, ∞); H1 R)) without the sign condition on the initial value by employing the limit technique of viscous approximation. A new one-sided lo...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Taylor and Francis Ltd.
2015
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| Online Access: | http://purl.org/au-research/grants/arc/FT140101112 http://hdl.handle.net/20.500.11937/18301 |
| _version_ | 1848749705244180480 |
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| author | Guo, Y. Wu, Yong Hong Lai, S. |
| author_facet | Guo, Y. Wu, Yong Hong Lai, S. |
| author_sort | Guo, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The existence of global weak solutions for a dissipative model equation for shallow water wave of moderate amplitude is studied in the space C([0, ∞) x R ∩ L ∞((0, ∞); H1 R)) without the sign condition on the initial value by employing the limit technique of viscous approximation. A new one-sided lower bound and the higher integrability estimate act a key role in our analysis. Our results partly extend the work of Coclite et al. on the existence of global weak solutions to the generalized hyperlastic-rod equation. |
| first_indexed | 2025-11-14T07:25:11Z |
| format | Journal Article |
| id | curtin-20.500.11937-18301 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:25:11Z |
| publishDate | 2015 |
| publisher | Taylor and Francis Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-183012023-02-02T03:24:10Z On weak solutions to a shallow water wave model of moderate amplitude Guo, Y. Wu, Yong Hong Lai, S. The existence of global weak solutions for a dissipative model equation for shallow water wave of moderate amplitude is studied in the space C([0, ∞) x R ∩ L ∞((0, ∞); H1 R)) without the sign condition on the initial value by employing the limit technique of viscous approximation. A new one-sided lower bound and the higher integrability estimate act a key role in our analysis. Our results partly extend the work of Coclite et al. on the existence of global weak solutions to the generalized hyperlastic-rod equation. 2015 Journal Article http://hdl.handle.net/20.500.11937/18301 10.1080/00036811.2015.1073265 http://purl.org/au-research/grants/arc/FT140101112 Taylor and Francis Ltd. restricted |
| spellingShingle | Guo, Y. Wu, Yong Hong Lai, S. On weak solutions to a shallow water wave model of moderate amplitude |
| title | On weak solutions to a shallow water wave model of moderate amplitude |
| title_full | On weak solutions to a shallow water wave model of moderate amplitude |
| title_fullStr | On weak solutions to a shallow water wave model of moderate amplitude |
| title_full_unstemmed | On weak solutions to a shallow water wave model of moderate amplitude |
| title_short | On weak solutions to a shallow water wave model of moderate amplitude |
| title_sort | on weak solutions to a shallow water wave model of moderate amplitude |
| url | http://purl.org/au-research/grants/arc/FT140101112 http://hdl.handle.net/20.500.11937/18301 |