Preprint 2000-044

A BGK Approximation to Nonlinear Parabolic Initial-Boundary Value Problems

Francesca Guarguaglini and Andrea Terracina

Abstract: We present a relaxation semilinear system of conservation laws with source which approximates nonlinear parabolic equations with initial and boundary conditions. We prove the well-posedness of the model, a priori estimates and we obtain the convergence towards the solution of the parabolic problem. Moreover we prove a similar result for a weakly degenerate problem.

Available as PostScript (541 Kbytes) or gzipped PostScript (109 Kbytes; uncompress using gunzip).
Francesca Guarguaglini, <>
Andrea Terracina, <>
Publishing information:
Submitted by:
<> October 25 2000.

[ 1996 | 1997 | 1998 | 1999 | 2000 | 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 Oct 25 10:08:57 MET DST 2000