The linear stability of traveling wave solutions for a reacting flow model with source term

被引：4
|
作者：
Hsiao, L [1 ]
Pan, RH [1 ]
机构：
[1] Acad Sinica, Inst Math, Beijing 100080, Peoples R China
来源：
QUARTERLY OF APPLIED MATHEMATICS | 2000年 / 58卷 / 02期
关键词：
linear stability; traveling wave; relaxation approximation; diffusive waves; energy estimates; reacting flow;
D O I：
10.1090/qam/1753396
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a 3 x 3 system for a reacting flow model with a source term in [7]. This model can be considered as a relaxation approximation to 2 x 2 systems of conservation laws, which include the well-known p-system. From this viewpoint, by introducing the new waves through time-asymptotic expansion and using the L-2 energy method, we establish the global existence and the linear stability of traveling wave solutions.
引用
收藏
页码：219 / 238
页数：20
相关论文
共 50 条
12345