A note on the L1-stability of boundary layers in viscous conservation laws

被引：1
|
作者：
Cavazzoni, R.
机构：
[1] 42100 Reggio Emilia, via Firenze
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 09期
关键词：
viscous conservation laws; initial-boundary value problem; L-1-stability; boundary layer;
D O I：
10.1016/j.na.2007.02.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the initial-boundary value problem for a class of multi-dimensional conservation laws. The semi-group Of Solutions satisfies a comparison principle and L-1-contraction property. The first result is concerned with the proof of the L-1-stability of constant solutions. Next we establish the L-1-stability of steady Solutions to the initial boundary value problem, which are called boundary layer Solutions. (C) 2007 Elsevier Ltd. All rights reserved.
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页码：2677 / 2680
页数：4
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