Preprint 1996-020

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

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.