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On the Cauchy problem for the two-component Camassa-Holm system
Gui, Guilong2,3; Liu, Yue1
2011-06-01
Source PublicationMATHEMATISCHE ZEITSCHRIFT
ISSN0025-5874
Volume268Issue:1-2Pages:45-66
AbstractIn 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.
KeywordBesov spaces Blow-up Local well-posedness Two-component Camassa-Holm system Wave-breaking
DOI10.1007/s00209-009-0660-2
Language英语
Funding ProjectNSF[DMS-0906099] ; Morningside Center of Mathematics, Chinese Academy of Sciences
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000290545000003
PublisherSPRINGER
Citation statistics
Cited Times:98[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/12926
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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