GENERIC REGULARITY OF CONSERVATIVE SOLUTIONS TO CAMASSA-HOLM TYPE EQUATIONS

被引：10
|
作者：
Li, Mingjie [1 ]
Zhang, Qingtian [2 ]
机构：
[1] Minzu Univ China, Coll Sci, Beijing 100081, Peoples R China
[2] Univ Calif Davis, Dept Math, Davis, CA 95616 USA
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2017年 / 49卷 / 04期
基金：
美国国家科学基金会;
关键词：
Camassa Holm equations; conservative weak solutions; generic regularity; singularities; SHALLOW-WATER EQUATION; WEAK SOLUTIONS; DISSIPATIVE SOLUTIONS; GLOBAL EXISTENCE; SYSTEM; UNIQUENESS; LAWS;
D O I：
10.1137/16M1063009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper mainly proves the generic properties of the Camassa Holm equation and the two-component Camassa Holm equation in a sense of Baire category. We reveal their differences in generic regularity and singular behavior.
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页码：2920 / 2949
页数：30
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