On the global existence and wave-breaking criteria for the two-component Camassa-Holm system
文献类型：期刊论文
| 作者 | Gui, Guilong2,3; Liu, Yue1 |
| 刊名 | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| 出版日期 | 2010-06-15 |
| 卷号 | 258期号:12页码:4251-4278 |
| 关键词 | Global solutions Transport equation theory Two-component Camassa-Holm system Wave breaking |
| ISSN号 | 0022-1236 |
| DOI | 10.1016/j.jfa.2010.02.008 |
| 英文摘要 | 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. |
| 资助项目 | Morningside Center of Mathematics, Chinese Academy of Sciences ; NSF[DMS-0906099] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000276926700013 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10254]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。