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Travelling wavefronts in combustion and chemical reaction models

Published online by Cambridge University Press:  23 July 2007

Shangbing Ai  and
Wenzhang Huang
Shangbing Ai
Affiliation:
Department of Mathematical Science, University of Alabama in Huntsville, Huntsville, AL 35899, USA (ais@email.uah.edu; huang@math.uah.edu)
Wenzhang Huang
Affiliation:
Department of Mathematical Science, University of Alabama in Huntsville, Huntsville, AL 35899, USA (ais@email.uah.edu; huang@math.uah.edu)
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Abstract

Travelling wavefronts for a system of two reaction–diffusion equations are studied. The existence of a family of wavefronts (one for each wave speed) as well as the existence of the minimal speed (in the case that the Lewis number is greater than $1$) are proved. Asymptotic formulae for the wavefronts are established. New results are obtained when applying the main theorems to an isothermal autocatalytic chemical reaction system.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 137 , Issue 4 , August 2007 , pp. 671 - 700
Copyright
2007 Royal Society of Edinburgh

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