On the formation of acceleration and reaction–diffusion wavefronts in autocatalytic-type reaction–diffusion systems

We consider generalization of the theory for the evolution of reaction–diffusion and accelerating wavefronts in KPP-type systems as developed in Needham (2004, Proc. R. Soc. Lond. A, 460, 1921–1934) (DN). These generalizations allow for the removal of a number of technical restrictions imposed in th...

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Bibliographic Details
Published in:IMA journal of applied mathematics 2006-06, Vol.71 (3), p.446-458
Main Author: NEEDHAM, D. J
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical analysis
Mathematics
Partial differential equations
reaction–diffusion system
Sciences and techniques of general use
wavefronts
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Summary:We consider generalization of the theory for the evolution of reaction–diffusion and accelerating wavefronts in KPP-type systems as developed in Needham (2004, Proc. R. Soc. Lond. A, 460, 1921–1934) (DN). These generalizations allow for the removal of a number of technical restrictions imposed in the paper of DN.
ISSN:0272-4960
1464-3634
DOI:10.1093/imamat/hxh107