Well-posedness and analytic solutions of the two-component Euler-Poincare system

被引：34
作者：
Li, Jinlu [1 ]
Yin, Zhaoyang [1 ,2 ]
机构：
[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
[2] Macau Univ Sci & Technol, Fac Informat Technol, Macau, Peoples R China
来源：
MONATSHEFTE FUR MATHEMATIK | 2017年 / 183卷 / 03期
关键词：
The two-component Euler-PoincarE system; Local well-posedness; Blow-up criterion; Analytic solutions; CAMASSA-HOLM EQUATION; GLOBAL WEAK SOLUTIONS; CAUCHY-PROBLEM; WAVE-BREAKING; EXISTENCE; BLOWUP;
D O I：
10.1007/s00605-016-0927-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We first establish the local well-posedness for the Cauchy problem of the two-component Euler-Poincar, system in nonhomogeneous Besov spaces. Then, we derive a blow-up criterion for strong solutions to the system. Finally, we prove the existence of analytic solutions to the system.
引用
收藏
页码：509 / 537
页数：29
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