Preprint 2002-029

A Discrete BGK Approximation for Strongly Degenerate Parabolic Problems with Boundary Conditions

F.R. Guarguaglini, V. Milisic, and A. Terracina

Abstract: We consider a class of BGK systems with a finite number of velocities, depending on a positive relaxation parameter, that approximate strongly degenerate hyperbolic--parabolic equations with initial boundary condition. We prove a priori estimates for the solutions of the systems, showing that these functions converge towards the entropy solutions of strongly degenerate problems when the parameter let to zero


Paper:
Available as PostScript (496 Kbytes) or gzipped PostScript (120 Kbytes; uncompress using gunzip).
Author(s):
F.R. Guarguaglini, <guarguag@univaq.it>
V. Milisic, <milisic@math.u-bordeaux.fr>
A. Terracina, <terracin@mat.uniroma1.it>
Publishing information:
Comments:
Submitted by:
<terracin@mat.uniroma1.it> May 31 2002.


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