On the Cauchy problem for the two-component Camassa–Holm system

被引：1
作者：
Guilong Gui
Yue Liu
机构：
[1] Jiangsu University,Department of Mathematics
[2] Chinese Academy of Sciences,Academy of Mathematics and Systems Science
[3] University of Texas,Department of Mathematics
来源：
Mathematische Zeitschrift | 2011年 / 268卷
关键词：
Besov spaces; Blow-up; Local well-posedness; Two-component Camassa–Holm system; Wave-breaking; 35G25; 35L15; 35Q58;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we establish the local well-posedness for the two-component Camassa–Holm system in a range of the Besov spaces. We also derive a wave-breaking mechanism for strong solutions. In addition, we determine the exact blow-up rate of such solutions to the system.
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页码：45 / 66
页数：21
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