Travelling waves for solid-gas reaction-diffusion systems

Pages: 872 - 879, Issue Special, July 2003

 Abstract        Full Text (172.9K)              

C. van der Mee - Università di Cagliari, Viale Merello 92, 09123 Cagliari, Italy (email)
Stella Vernier Piro - Dipartimento di Matematica e Informatica, Viale Merello 92, 09123 Cagliari, Italy (email)

Abstract: We study a two-species reaction-diffusion problem described by a system consisting of a semilinear parabolic equation and a first order ordinary differential equation, endowed with suitable conditions. We prove the existing of a unique traveling wave profile and give necessary conditions and sufficient conditions for the occurrence of penetration and conversion fronts.

Keywords:  reaction-diffusion, parabolic system, traveling wave.
Mathematics Subject Classification:  Primary: 35K50, 80A30; Secondary: 35K60, 80A25.

Received: July 2002;      Revised: March 2003;      Published: April 2003.