On the Cauchy problem for a two-component Degasperis-Procesi system

被引：27
|
作者：
Yan, Kai [1 ]
Yin, Zhaoyang [1 ]
机构：
[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 252卷 / 03期
关键词：
Two-component Degasperis-Procesi system; Local well-posedness; Besov spaces; Blow-up; SHALLOW-WATER EQUATION; BLOW-UP PHENOMENA; CAMASSA-HOLM EQUATION; GLOBAL WEAK SOLUTIONS; PERIODIC INTEGRABLE EQUATION; WELL-POSEDNESS; PEAKON SOLUTIONS; WAVE SOLUTIONS; GEODESIC-FLOW; SHOCK-WAVES;
D O I：
10.1016/j.jde.2011.08.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with the Cauchy problem for a two-component Degasperis-Procesi system. Firstly, the local well-posedness for this system in the nonhomogeneous Besov spaces is established. Then the precise blow-up scenario for strong solutions to the system is derived. Finally, two new blow-up criterions and the exact blow-up rate of strong solutions to the system are presented. (C) 2011 Elsevier Inc. All rights reserved.
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页码：2131 / 2159
页数：29
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