THE CAUCHY PROBLEM ON LARGE TIME FOR SURFACE-WAVES-TYPE BOUSSINESQ SYSTEMS II

doi:10.1137/15M1050203

	THE CAUCHY PROBLEM ON LARGE TIME FOR SURFACE-WAVES-TYPE BOUSSINESQ SYSTEMS II
	Saut, Jean-Claude 1,2; Wang, Chao 3; Xu, Li4
	2017
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	49 期号:4 页码:2321-2386
摘要	This 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.
关键词	Bousinesq systems Cauchy problem long time existence
DOI	10.1137/15M1050203
语种	英语
资助项目	ANR project GEODISP ; NSF of China[11201455] ; NSF of China[11671383] ; National Center for Mathematics and Interdisciplinary Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000408928900001
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26528
专题	计算数学与科学工程计算研究所
通讯作者	Saut, Jean-Claude
作者单位	1.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
推荐引用方式 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.