Preprint 2000-002
Convergence of a Relaxation Approximation to a Boundary Value Problem for
Conservation Laws
R. Natalini and A. Terracina
Abstract:
We propose a semilinear relaxation approximation to the
unique entropy solutions of an initial boundary value
problem for a scalar conservation law. Without any
restriction on the initial--boundary data or on the
flux function, we prove uniform a priori estimates and
convergence of that approximation as the relaxation
parameter tends to zero.
- Paper:
- Available as PostScript.
- Author(s):
- R. Natalini,
<natalini@iac.rm.cnr.it>
- A. Terracina,
<terracin@mat.uniroma1.it>
- Publishing information:
- Quaderno IAC n.22/1999
- Comments:
-
- Submitted by:
-
<natalini@iac.rm.cnr.it>
January 13 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 <conservation@math.ntnu.no>
Last modified: Thu Jan 13 16:37:50 2000