✦ LIBER ✦

BV-estimates of Lax–Friedrichs' scheme for hyperbolic conservation laws with relaxation

✍ Scribed by Jing Zhang; Changjiang Zhu

Publisher: John Wiley and Sons
Year: 2008
Tongue: English
Weight: 134 KB
Volume: 31
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.954

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✦ Synopsis

Abstract

In this paper, we will give BV‐estimates of Lax–Friedrichs' scheme for a simple hyperbolic system of conservation laws with relaxation and get the global existence and uniqueness of BV‐solution by the BV‐estimates above. Furthermore, our results show that the solution converge towards the solution of an equilibrium model as the relaxation time ε>0 tends to zero provided sub‐characteristic condition holds. Copyright © 2007 John Wiley & Sons, Ltd.

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