Preprint 1996020
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. Wellposedness of the Cauchy problem, in the framework of
BVsolutions, 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 nonequilibrium
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.
 Comments:
 The psfile is 350 Kb.
 Submitted by:

<wens@ifi.uio.no>
August 12 1996.
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