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The global weak solution for the shallow water wave model of moderate amplitude

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Authors
Guo, Y.
Wu, Yong Hong
Lai, S.
Caccetta, Louis
Date
2017
Type
Journal Article

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Guo, Y. and Wu, Y.H. and Lai, S. and Caccetta, L. 2017. The global weak solution for the shallow water wave model of moderate amplitude. Applicable Analysis. 96 (4): pp. 663-678.
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Applicable Analysis
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Department of Mathematics and Statistics
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Abstract

© 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.