Preprint 1996-006

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, mailto:natalini@asterix.iac.rm.cnr.it
Publishing information:
Quaderno IAC n. 9, Maggio 1995; to appear in Comm. Pure Appl. Math.
Submitted by:
mailto: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.

mailto:conservation@math.ntnu.no
Last modified: Tue Jul 2 18:06:37 1996
InfoLaw. законодательство РФ
Сайт управляется системой uCoz