CAUCHY PROBLEM FOR VISCOUS SHALLOW WATER EQUATIONS WITH SURFACE TENSION
文献类型：期刊论文
| 作者 | Hao, Chengchun1,2
|
| 刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
 |
| 出版日期 | 2010-05-01 |
| 卷号 | 13期号:3页码:593-608 |
| 关键词 | Shallow water equation with surface tension Littlewood-Paley decomp osition homogeneous Besov space global-in-time solution |
| ISSN号 | 1531-3492 |
| DOI | 10.3934/dcdsb.2010.13.593 |
| 英文摘要 | We are concerned with the Cauchy problem for a viscous shallow water system with a third-order surface-tension term. The global existence and uniqueness of the solution in the space of Besov type is shown for the initial data close to a constant equilibrium state away from the vacuum by using the Friedrich's regularization and compactness arguments. |
| 语种 | 英语 |
| WOS记录号 | WOS:000275049700005 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10902]  |
| 专题 | 数学所 |
| 通讯作者 | Hao, Chengchun |
| 作者单位 | 1.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hao, Chengchun. CAUCHY PROBLEM FOR VISCOUS SHALLOW WATER EQUATIONS WITH SURFACE TENSION[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2010,13(3):593-608. |
| APA | Hao, Chengchun.(2010).CAUCHY PROBLEM FOR VISCOUS SHALLOW WATER EQUATIONS WITH SURFACE TENSION.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,13(3),593-608. |
| MLA | Hao, Chengchun."CAUCHY PROBLEM FOR VISCOUS SHALLOW WATER EQUATIONS WITH SURFACE TENSION".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 13.3(2010):593-608. |
入库方式： OAI收割
来源：数学与系统科学研究院
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