Preprint 1996006
Convergence to Equilibrium for the Relaxation
Approximations of Conservation Laws
Roberto Natalini
Abstract:
We study the Cauchy problem for 2X2 semilinear and quasilinear hyperbolic
systems with a singular relaxation term. Special comparison and compactness
properties are established by assuming the subcharacteristic
condition. Therefore we can prove the convergence to equilibrium of the
solutions of these problems as the singular perturbation parameter tends to
zero. This research was strongly motivated by the recent numerical
investigations of S. Jin and Z. Xin on the relaxation schemes for conservation
laws.
 Paper:
 Available as PostScript
 Title:
 Convergence to Equilibrium for the Relaxation
Approximations of Conservation Laws
 Author(s):
 Roberto Natalini,
<natalini@asterix.iac.rm.cnr.it >
 Publishing information:
 Quaderno IAC n. 9, Maggio 1995; to appear in Comm. Pure Appl. Math.
 Submitted by:

<natalini@asterix.iac.rm.cnr.it >
July 2 1996.
[
1996 Preprints

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: Tue Jul 2 18:06:37 1996