### 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 , <aslak@ifi.uio.no>
Ragnar Winther, <ragnar@ifi.uio.no>
Publishing information:
To appear in Siam J. Math. An.