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THE CAUCHY PROBLEM ON LARGE TIME FOR SURFACE-WAVES-TYPE BOUSSINESQ SYSTEMS II
Saut, Jean-Claude1,2; Wang, Chao3; Xu, Li4
2017
Source PublicationSIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN0036-1410
Volume49Issue:4Pages:2321-2386
AbstractThis paper is a continuation of a previous work by two of the authors [J.-C. Saut and Li Xu, T. Math. Pures Appl. (9), 97 (2012), pp. 635-662.] on long time existence for Boussinesq systems modeling the propagation of long, weakly nonlinear water waves. We provide proofs on examples not considered in the Sant and Xu paper; in particular, we prove a long time well-posedness result for a delicate "strongly dispersive" Boussinesq system.
KeywordBousinesq systems Cauchy problem long time existence
DOI10.1137/15M1050203
Language英语
Funding ProjectANR project GEODISP ; NSF of China[11201455] ; NSF of China[11671383] ; National Center for Mathematics and Interdisciplinary Sciences
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000408928900001
PublisherSIAM PUBLICATIONS
Citation statistics
Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26528
Collection计算数学与科学工程计算研究所
Affiliation1.Univ Paris 11, Lab Math, UMR 8628, F-91405 Orsay, France
2.CNRS, F-91405 Orsay, France
3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
4.Chinese Acad Sci, LSEC, Inst Computat Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Saut, Jean-Claude,Wang, Chao,Xu, Li. THE CAUCHY PROBLEM ON LARGE TIME FOR SURFACE-WAVES-TYPE BOUSSINESQ SYSTEMS II[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2017,49(4):2321-2386.
APA Saut, Jean-Claude,Wang, Chao,&Xu, Li.(2017).THE CAUCHY PROBLEM ON LARGE TIME FOR SURFACE-WAVES-TYPE BOUSSINESQ SYSTEMS II.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,49(4),2321-2386.
MLA Saut, Jean-Claude,et al."THE CAUCHY PROBLEM ON LARGE TIME FOR SURFACE-WAVES-TYPE BOUSSINESQ SYSTEMS II".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 49.4(2017):2321-2386.
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