A sine-type Camassa-Holm equation: local well-posedness, Holder continuity, and wave-breaking analysis

doi:10.1007/s00605-022-01670-9

CSpace

	A sine-type Camassa-Holm equation: local well-posedness, Holder continuity, and wave-breaking analysis
	Qin, Guoquan 1,2; Yan, Zhenya 2,3; Guo, Boling 4
	2022-01-18
发表期刊	MONATSHEFTE FUR MATHEMATIK
ISSN	0026-9255
页码	38
摘要	In 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.
关键词	Sine-type Camassa-Holm equation Well-posedness Holder continuity Blow-up criterion and quantity Wave breaking
DOI	10.1007/s00605-022-01670-9
收录类别	SCI
语种	英语
资助项目	NSFC of China[11925108]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000743847300001
出版者	SPRINGER WIEN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59878
专题	中国科学院数学与系统科学研究院
通讯作者	Yan, Zhenya
作者单位	1.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
推荐引用方式 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.