Preprint 1996-011
L^1 Nonlinear Stability of Travelling Waves for a Hyperbolic System with Relaxation
Corrado Mascia and Roberto Natalini
Abstract:
We investigate the existence and the asymptotic stability of travelling wave
solutions for a hyperbolic $2\times2$ system with a relaxation source
term. Using the subcharacteristic stability condition, which implies special
monotonicity properties of the solutions, we are able to establish the $L^1$
asymptotic attractivity of these solutions.
- Paper:
- Available as PostScript
- Title:
- L^1 Nonlinear Stability of Travelling Waves for a Hyperbolic
System with Relaxation
- Author(s):
- Corrado Mascia,
<mascia@mercurio.mat.uniroma1.it>
- Roberto Natalini,
<natalini@asterix.iac.rm.cnr.it>
- Publishing information:
- Quaderno IAC n. 4, Marzo 1996
- Submitted by:
-
<natalini@asterix.iac.rm.cnr.it>
July 2 1996.
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Last modified: Tue Jul 2 18:26:59 1996