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.

引用

页码：877 / 899

页数：23