Blow-up and local weak solution for a modified two-component Camassa-Holm equations

被引:1
作者
Tian, Lixin [1 ,3 ]
Zhu, Minyi [2 ,3 ]
机构
[1] Tianjin Univ Technol, Coll Sci, Tianjin 300384, Peoples R China
[2] Beijing Inst Technol, Sch Sci, Beijing 100081, Peoples R China
[3] Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212013, Jiangsu, Peoples R China
来源
BOUNDARY VALUE PROBLEMS | 2012年
关键词
the modified two-component Camassa-Holm equations; blow up; weak solutions; GLOBAL EXISTENCE;
D O I
10.1186/1687-2770-2012-52
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we establish some blow-up results for a modified two-component Camassa-Holm system in Sobolev spaces. We also obtain the existence of the weak solutions of this system in H-s x Hs-1, s > 5/2.
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页数:12
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