Preprint 1996-020

On the rate of convergence to equilibrium for a system of conservation laws including a relaxation term

Aslak Tveito and Ragnar Winther


Abstract: We analyze a simple system of conservation laws with a strong relaxation term. Well-posedness of the Cauchy problem, in the framework of BV-solutions, is proved. Furthermore, we prove that the solutions converge towards the solution of an equilibrium model as the relaxation time $\delta>0$ tends to zero. Finally, we show that the difference between an equilibrium solution $(\delta =0)$ and a non-equilibrium solution $(\delta>0)$, measured in $\Len$, is bounded by $O(\delta^{1/3})$.


Paper:
Available as PostScript
Title:
On the rate of convergence to equilibrium for a system of conservation laws including a relaxation term
Author(s):
Aslak Tveito , mailto:aslak@ifi.uio.no
Ragnar Winther, mailto:ragnar@ifi.uio.no
Publishing information:
To appear in Siam J. Math. An.
Comments:
The ps-file is 350 Kb.
Submitted by:
mailto:wens@ifi.uio.no August 12 1996.


[ 1996 Preprints | All Preprints | Preprint Server Homepage ]
(c) 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: Mon Aug 12 14:25:08 1996
Сайт управляется системой uCoz