The existence of global weak solutions for a generalized Camassa-Holm equation

被引:3
作者
Tu, Xi [1 ]
Yin, Zhaoyang [2 ,3 ]
机构
[1] Foshan Univ, Dept Math, Foshan, Peoples R China
[2] Sun Yat Sen Univ, Dept Math, Guangzhou, Peoples R China
[3] Macau Univ Sci & Technol, Fac Informat Technol, Macau, Peoples R China
关键词
A generalized Camassa-Holm equation; global weak solution; the viscous approximation method; SHALLOW-WATER EQUATION; BLOW-UP PHENOMENA; CAUCHY-PROBLEM; WELL-POSEDNESS; INTEGRABLE EQUATION; SHOCK-WAVES; TRAJECTORIES; BREAKING;
D O I
10.1080/00036811.2020.1758313
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we mainly study the Cauchy problem of a generalized Camassa-Holm equation. We prove the existence of global weak solutions for this generalized Camassa-Holm equation by the viscous approximation method.
引用
收藏
页码:810 / 823
页数:14
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