Preprint 2001-007

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

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.

Paper:

Available as PostScript (181 Kbytes) or gzipped PostScript (71 Kbytes; uncompress using gunzip).

Author(s):

Vuk Milisic, <milisic@math.u-bordeaux.fr>

Publishing information:

Comments:

Submitted by:

<milisic@math.u-bordeaux.fr> February 13 2001.