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

doi:10.1007/s00209-009-0660-2

CSpace

	On the Cauchy problem for the two-component Camassa-Holm system
	Gui, Guilong 2,3; Liu, Yue 1
	2011-06-01
发表期刊	MATHEMATISCHE ZEITSCHRIFT
ISSN	0025-5874
卷号	268 期号:1-2 页码:45-66
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.
关键词	Besov spaces Blow-up Local well-posedness Two-component Camassa-Holm system Wave-breaking
DOI	10.1007/s00209-009-0660-2
语种	英语
资助项目	NSF[DMS-0906099] ; Morningside Center of Mathematics, Chinese Academy of Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000290545000003
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12926
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Yue
作者单位	1.Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Jiangsu Univ, Dept Math, Zhenjiang 212013, Jiangsu, Peoples R China
推荐引用方式 GB/T 7714	Gui, Guilong,Liu, Yue. On the Cauchy problem for the two-component Camassa-Holm system[J]. MATHEMATISCHE ZEITSCHRIFT,2011,268(1-2):45-66.
APA	Gui, Guilong,&Liu, Yue.(2011).On the Cauchy problem for the two-component Camassa-Holm system.MATHEMATISCHE ZEITSCHRIFT,268(1-2),45-66.
MLA	Gui, Guilong,et al."On the Cauchy problem for the two-component Camassa-Holm system".MATHEMATISCHE ZEITSCHRIFT 268.1-2(2011):45-66.