Preprint 1996-011

L^1 Nonlinear Stability of Travelling Waves for a Hyperbolic System with Relaxation

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, mailto:mascia@mercurio.mat.uniroma1.it

Roberto Natalini, mailto:natalini@asterix.iac.rm.cnr.it

Publishing information:

Quaderno IAC n. 4, Marzo 1996

Submitted by:

mailto:natalini@asterix.iac.rm.cnr.it July 2 1996.