Well-posedness and blow-up solution for a modified two-component periodic Camassa-Holm system with peakons

被引：57
作者：
Fu, Ying [2 ,3 ]
Liu, Yue [1 ]
Qu, Changzheng [2 ,3 ]
机构：
[1] Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA
[2] Northwest Univ, Dept Math, Xian 710069, Shanxi, Peoples R China
[3] Northwest Univ, Ctr Nonlinear Studies, Xian 710069, Shanxi, Peoples R China
来源：
MATHEMATISCHE ANNALEN | 2010年 / 348卷 / 02期
关键词：
SHALLOW-WATER EQUATION; CONSERVATIVE SOLUTIONS; GLOBAL EXISTENCE; BREAKING WAVES; GEODESIC-FLOW; TRAJECTORIES;
D O I：
10.1007/s00208-010-0483-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Considered herein is a modified two-component periodic Camassa-Holm system with peakons. The local well-posedness and low regularity result of solutions are established. The precise blow-up scenarios of strong solutions and several results of blow-up solutions with certain initial profiles are described in detail and the exact blow-up rate is also obtained.
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收藏
页码：415 / 448
页数：34
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