The Cauchy problem on large time for surface waves Boussinesq systems

被引：49

作者：

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

Xu, Li ^{[1
,2
,3
]}

机构：

[1] Univ Paris 11, Math Lab, UMR 8628, F-91405 Orsay, France

[2] CNRS, F-91405 Orsay, France

[3] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2012年 / 97卷 / 06期

关键词：

Waterwaves; Boussinesq systems; Long time existence; NONLINEAR DISPERSIVE MEDIA; AMPLITUDE LONG WAVES; MODEL-EQUATIONS; EXISTENCE;

D O I：

10.1016/j.matpur.2011.09.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider in this paper the well-posedness on time intervals of order 1/epsilon for the Cauchy problem associated to two-dimensional dispersive systems of Boussinesq type which model weakly nonlinear long wave surface waves. This achieves their full rigorous justification as asymptotic models to the full Euler equations with free surface. (C) 2011 Elsevier Masson SAS. All rights reserved.

引用

页码：635 / 662

页数：28

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