EXISTENCE OF SOLUTIONS FOR A BOUSSINESQ SYSTEM ON THE HALF LINE AND ON A FINITE INTERVAL

被引：16

作者：

Adamy, Karine ^{[1
]}

机构：

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

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 29卷 / 01期

关键词：

Boussinesq systems; boundary value problems; hyperbolic systems; regularity of solutions; NONLINEAR DISPERSIVE MEDIA; AMPLITUDE LONG WAVES; PROPAGATION; EQUATIONS; MODEL;

D O I：

10.3934/dcds.2011.29.25

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The initial boundary-value problem for a Boussinesq system is studied on the half line and on a finite interval. Global existence of weak solutions satisfying the boundary conditions is proven and uniqueness for solutions in a suitable class is studied. A proof of the persistence of finite regularity for solutions in the whole space is also presented.

引用

页码：25 / 49

页数：25

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