Global existence for the higher-order Camassa-Holm shallow water equation

被引：17
|
作者：
Tian, Lixin [1 ]
Zhang, Pin [1 ]
Xia, Limeng [1 ]
机构：
[1] Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212013, Jiangsu, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 07期
关键词：
Higher-order Camassa-Holm; Local well-posedness; Conservation law; Global existence; BLOW-UP SOLUTIONS; WELL-POSEDNESS; WAVE SOLUTIONS; SOLITONS; SYSTEM;
D O I：
10.1016/j.na.2010.12.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the global existence of the higher-order Camassa-Holm equation in the case of k = 2. We prove the local well-posedness of this equation and find a conservation law. Then a global existence result is obtained. (C) 2011 Published by Elsevier Ltd
引用
收藏
页码：2468 / 2474
页数：7
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