On the global existence and wave-breaking criteria for the two-component Camassa-Holm system

doi:10.1016/j.jfa.2010.02.008

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	On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
	Gui, Guilong 2,3; Liu, Yue 1
	2010-06-15
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	258 期号:12 页码:4251-4278
摘要	Considered herein is a two-component Camassa-Holm system modeling shallow water waves moving over a linear shear flow. A wave-breaking criterion for strong solutions is determined in the lowest Sobolev space H(s), s > 3/2 by using the localization analysis in the transport equation theory. Moreover, an improved result of global solutions with only a nonzero initial profile of the free surface component of the system is established in this Sobolev space H(s). (C) 2010 Elsevier Inc. All rights reserved.
关键词	Global solutions Transport equation theory Two-component Camassa-Holm system Wave breaking
DOI	10.1016/j.jfa.2010.02.008
语种	英语
资助项目	Morningside Center of Mathematics, Chinese Academy of Sciences ; NSF[DMS-0906099]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000276926700013
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10255
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.Jiangsu Univ, Dept Math, Zhenjiang 212013, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Gui, Guilong,Liu, Yue. On the global existence and wave-breaking criteria for the two-component Camassa-Holm system[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2010,258(12):4251-4278.
APA	Gui, Guilong,&Liu, Yue.(2010).On the global existence and wave-breaking criteria for the two-component Camassa-Holm system.JOURNAL OF FUNCTIONAL ANALYSIS,258(12),4251-4278.
MLA	Gui, Guilong,et al."On the global existence and wave-breaking criteria for the two-component Camassa-Holm system".JOURNAL OF FUNCTIONAL ANALYSIS 258.12(2010):4251-4278.