Splitting of energy of dispersive waves in a star-shaped network

被引：13
|
作者：
Ali Mehmeti, F [1 ]
Régnier, V [1 ]
机构：
[1] Univ Valenciennes & Hainaut Cambresis, MACS, F-59313 Valenciennes 9, France
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2003年 / 83卷 / 02期
关键词：
waves; Klein-Gordon equation; network; energy flow;
D O I：
10.1002/zamm.200310010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study wave and Klein-Gordon equations in a star-shaped network. In the wave case we state a d'Alembert-type solution formula generalizing the formula obtained in Ali Mehmeti [1] and [4] for four branches. In the Klein-Gordon case (dispersive waves) we solve the problem using the Laplace transform with respect to time. We state a continuity equation linking the energy density and the energy flow for the Klein-Gordon equation in a star-shaped network. We observe that the splitting of energy at the central node is the same for propagating waves with and without dispersion.
引用
收藏
页码：105 / 118
页数：14
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