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

被引：34

作者：

Saut, Jean-Claude ^{[1
,2
]}

Wang, Chao ^{[3
]}

Xu, Li ^{[4
]}

机构：

[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

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2017年 / 49卷 / 04期

关键词：

Bousinesq systems; Cauchy problem; long time existence; NONLINEAR DISPERSIVE MEDIA; AMPLITUDE LONG WAVES; WATER-WAVES; WELL-POSEDNESS; INTERNAL WAVES; BENJAMIN-ONO; EQUATIONS; EXISTENCE; MODELS; PERTURBATIONS;

D O I：

10.1137/15M1050203

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：2321 / 2386

页数：66

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