Preprint 2001-007

Stability and Convergence of Discrete Kinetic Approximations to an Initial-Boundary Value Problem for Conservation Laws

Vuk Milisic

Abstract: We present some new convergence results for a discrete velocities BGK approximation to an initial boundary value problem for a single hyperbolic conservation law. In this paper we show stability and convergence towards an unique entropy solution in the general $BV$ framework without any restriction either on the data of the limit problem or on the set of velocity of the BGK model.

Available as PostScript (181 Kbytes) or gzipped PostScript (71 Kbytes; uncompress using gunzip).
Vuk Milisic, <>
Publishing information:
Submitted by:
<> February 13 2001.

[ 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | All Preprints | Preprint Server Homepage ]
© The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

Conservation Laws Preprint Server <>
Last modified: Wed Feb 14 09:37:09 MET 2001