KMS Of Academy of mathematics and systems sciences, CAS
| 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 Publication | MONATSHEFTE FUR MATHEMATIK
 |
| ISSN | 0026-9255 |
| Pages | 38 |
| Abstract | 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. |
| Keyword | Sine-type Camassa-Holm equation Well-posedness Holder continuity Blow-up criterion and quantity Wave breaking |
| DOI | 10.1007/s00605-022-01670-9 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NSFC of China[11925108] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000743847300001 |
| Publisher | SPRINGER WIEN |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59878 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yan, Zhenya |
| Affiliation | 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 |
| 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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