Travelling waves for solid-gas reaction-diffusion systems

C. van der Mee; Stella Vernier Piro

doi:10.3934/proc.2003.2003.872

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2003, Volume 2003: 872-879. Doi: 10.3934/proc.2003.2003.872 open access

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Travelling waves for solid-gas reaction-diffusion systems

C. van der Mee^1, and
Stella Vernier Piro^2,

1.
Università di Cagliari, Viale Merello 92, 09123 Cagliari
2.
Dipartimento di Matematica e Informatica, Viale Merello 92, 09123 Cagliari

Received: July 2002

Revised: March 2003

Published: April 2003

Abstract / Introduction Related Papers Cited by

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.

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Mathematics Subject Classification: Primary: 35K50, 80A30; Secondary: 35K60, 80A25.

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