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A sine-type Camassa-Holm equation: local well-posedness, Holder continuity, and wave-breaking analysis
Qin, Guoquan1,2; Yan, Zhenya2,3; Guo, Boling4
2022-01-18
Source PublicationMONATSHEFTE FUR MATHEMATIK
ISSN0026-9255
Pages38
AbstractIn this paper, we explore the effect of sine-type higher-order nonlinearity on the dispersive dynamics by considering the Cauchy problem for a sine-type Camassa-Holm (alias sine-CH) equation, which is a higher-order generalization of the remarkable CH equation, and also admits the peakon solution. Some main results are presented containing the local well-posedness for strong solutions in subcritical or critical Besov spaces, Holder continuity of the data-to-solution map, the blow-up criterion and the precise blow-up quantity in Sobolev space, and a sufficient condition with regard to the initial data ensuring the occurance of the wave-breaking phenomenon.
KeywordSine-type Camassa-Holm equation Well-posedness Holder continuity Blow-up criterion and quantity Wave breaking
DOI10.1007/s00605-022-01670-9
Indexed BySCI
Language英语
Funding ProjectNSFC of China[11925108]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000743847300001
PublisherSPRINGER WIEN
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/59878
Collection中国科学院数学与系统科学研究院
Corresponding AuthorYan, Zhenya
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
4.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
Recommended Citation
GB/T 7714
Qin, Guoquan,Yan, Zhenya,Guo, Boling. A sine-type Camassa-Holm equation: local well-posedness, Holder continuity, and wave-breaking analysis[J]. MONATSHEFTE FUR MATHEMATIK,2022:38.
APA Qin, Guoquan,Yan, Zhenya,&Guo, Boling.(2022).A sine-type Camassa-Holm equation: local well-posedness, Holder continuity, and wave-breaking analysis.MONATSHEFTE FUR MATHEMATIK,38.
MLA Qin, Guoquan,et al."A sine-type Camassa-Holm equation: local well-posedness, Holder continuity, and wave-breaking analysis".MONATSHEFTE FUR MATHEMATIK (2022):38.
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