Linear stability of shock profiles for systems of conservation laws with semi-linear relaxation

被引：17
作者：
Godillon, P [1 ]
机构：
[1] Ecole Normale Super Lyon, CNRS, UMR 5669, Unite Math Pures & Appl, F-69364 Lyon 07, France
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2001年 / 148卷 / 3-4期
关键词：
linear stability; Evans function; semi-linear relaxation;
D O I：
10.1016/S0167-2789(00)00178-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Evans function theory, which has recently been applied to the study of linear stability of viscous shock profiles, is developed below for semi-linear relaxation. We study the Linear stability of shock profiles in the Lax, undercompressive and overcompressive cases. The results we obtain are similar to those found for viscous approximations by Gardner and Zumbrun [Commun. Pure Appl. Math. 51 (7) (1998) 797]. (C) 2001 Elsevier Science B.V. All rights reserved.
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收藏
页码：289 / 316
页数：28
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