The global weak solution for the shallow water wave model of moderate amplitude |
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| Authors: | Yunxi Guo Yonghong Wu Shaoyong Lai Lou Caccetta |
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| Institution: | 1. Department of Applied Mathematics, Sichuan University of Science and Engineering, Zigong, China.matyunxiguo@suse.edu.cn;3. Department of Mathematics and Statistics, Curtin University, Perth, Australia.;4. Department of Applied Mathematics, Southwestern University of Finance and Economics, Chengdu, China. |
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| Abstract: | 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. |
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| Keywords: | Existence uniqueness weak solutions the model equation for shallow water of moderate amplitude travelling wave solutions |
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