LONG-TIME ASYMPTOTIC BEHAVIOR OF TWO-DIMENSIONAL DISSIPATIVE BOUSSINESQ SYSTEMS

被引：19

作者：

Chen, Min ^{[1
]}

Goubet, Olivier ^{[2
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[2] Univ Picardie Jules Verne, LAMFA CNRS UMR 6140, F-80039 Amiens, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2009年 / 2卷 / 01期

关键词：

waves; two-way propagation; Boussinesq systems; dissipation; long-time asymptotics;

D O I：

10.3934/dcdss.2009.2.37

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider the two-dimensional dissipative Boussinesq systems which model surface waves in three space dimensions. The long time asymptotics of the solutions for a large class of such systems are obtained rigorously for small initial data.

引用

页码：37 / 53

页数：17

共 17 条

[1]

[Anonymous], 2006, Lecture Notes in Mathematics

[2]

Antonopoulos D.C., 2004, NONLINEARITY, V17, P925

[3] Long wave approximations for water waves [J].