Instability of travelling wave profiles for the Lax-Friedrichs scheme

被引：0
|
作者：
Baiti, P
Bressan, A
Jenssen, HK
机构：
[1] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy
[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA
[3] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2005年 / 13卷 / 04期
关键词：
systems of conservation laws; discrete scheme; Lax-Friedrichs; travelling wave; instability;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study travelling wave profiles for discrete approximations to hyperbolic systems of conservation laws. A detailed example is constructed, showing that for the Lax-Friedrichs scheme the travelling profiles do not depend continuously on the wave speed, in the BV norm. Namely, taking a sequence of wave speeds lambda(n) -->lambda, the corresponding profiles Psi(n) converge to a limit Psi uniformly on the real line, but Tot.Var.{Psi(n) - Psi} >= c(o) > 0 for all n.
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页码：877 / 899
页数：23
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