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.
- Paper:
- Available as PostScript (541 Kbytes) or
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using gunzip).
- Author(s):
- Francesca Guarguaglini,
<guarguag@univaq.it>
- Andrea Terracina,
<terracin@mat.uniroma1.it>
- Publishing information:
-
- Comments:
-
- Submitted by:
-
<terracin@mat.uniroma1.it>
October 25 2000.
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Last modified: Wed Oct 25 10:08:57 MET DST 2000