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Kinetic conditions for the existence of wave fronts in reaction-diffusion systems

Published online by Cambridge University Press:  14 November 2011

José M. Fraile  and
José Sabina
José M. Fraile
Affiliation:
Departamento de Ecuaciones Funcionales, Universidad Complutense de Madrid, Spain
José Sabina
Affiliation:
Departamento de Ecuaciones Funcionales, Universidad Complutense de Madrid, Spain
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Synopsis

This paper deals with the existence of bounded plane wave fronts of reaction-diffusion systems. The main result ensures the partial invariance of a certain region, under kinetic conditions commonly used in the literature. This allows us to construct bounded plane wave fronts taking their values in that domain. We also give an estimate of the minimum permissible value of the propagation velocity of those plane wave fronts. Some examples are given.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 103 , Issue 1-2 , 1986 , pp. 161 - 177
Copyright
Copyright © Royal Society of Edinburgh 1986

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