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| dc.contributor.author | Chen, Caixia | en_US |
| dc.date.accessioned | 2012-07-25T19:22:17Z | |
| dc.date.available | 2012-07-25T19:22:17Z | |
| dc.date.issued | 2012-07-25 | |
| dc.date.submitted | January 2012 | en_US |
| dc.identifier.other | DISS-11700 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10106/11131 | |
| dc.description.abstract | In this dissertation we study the generalized periodic two-component Camassa-Holm system and the generalized periodic two-component Dullin-Gottwald-Holm system, which can be derived from the Euler equation with nonzero constant vorticity in shallow water waves moving over a linear shear flow. The precise blow-up scenarios of strong solutions and several results of blow-up solutions with certain initial profiles are described in detail. The exact blow-up rates are also determined. Finally, the sufficient conditions for global solutions are established. | en_US |
| dc.description.sponsorship | Liu, Yue | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Mathematics | en_US |
| dc.title | A Study On The Two Component Periodic Shallow Water Systems | en_US |
| dc.type | Ph.D. | en_US |
| dc.contributor.committeeChair | Liu, Yue | en_US |
| dc.degree.department | Mathematics | en_US |
| dc.degree.discipline | Mathematics | en_US |
| dc.degree.grantor | University of Texas at Arlington | en_US |
| dc.degree.level | doctoral | en_US |
| dc.degree.name | Ph.D. | en_US |
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