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 ,
<aslak@ifi.uio.no>
- Ragnar Winther,
<ragnar@ifi.uio.no>
- Publishing information:
- To appear in Siam J. Math. An.
- Comments:
- The ps-file is 350 Kb.
- Submitted by:
-
<wens@ifi.uio.no>
August 12 1996.
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