CAUCHY PROBLEM FOR VISCOUS SHALLOW WATER EQUATIONS WITH SURFACE TENSION | |
Hao, Chengchun1,2 | |
刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B |
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 |
出版者 | AMER INST MATHEMATICAL SCIENCES |
WOS记录号 | WOS:000275049700005 |
内容类型 | 期刊论文 |
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. |
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