American Institute of Mathematical Sciences

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2003, 2003(Special): 872-879. doi: 10.3934/proc.2003.2003.872

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, Italy
2. 

Dipartimento di Matematica e Informatica, Viale Merello 92, 09123 Cagliari, Italy

Received  July 2002 Revised  March 2003 Published  April 2003

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: traveling wave., parabolic system, reaction-diffusion.
Mathematics Subject Classification: Primary: 35K50, 80A30; Secondary: 35K60, 80A2.
Citation: C. van der Mee, Stella Vernier Piro. Travelling waves for solid-gas reaction-diffusion systems. Conference Publications, 2003, 2003 (Special) : 872-879. doi: 10.3934/proc.2003.2003.872
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