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February 2007 Propagation Speeds of Traveling Fronts for Higher Order Autocatalytic Reaction-Diffusion Systems
Yuzo Hosono
Japan J. Indust. Appl. Math. 24(1): 79-104 (February 2007).

Abstract

This paper investigates the existence of traveling fronts and their propagation speeds for the two component higher order autocatalytic reaction-diffusion systems with any diffusion coefficients. Our elementary analysis of the vector fields in the phase space gives the estimate of the minimal propagation speeds in terms of the order of autocatalysis and the diffusion coefficients.

Citation

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Yuzo Hosono. "Propagation Speeds of Traveling Fronts for Higher Order Autocatalytic Reaction-Diffusion Systems." Japan J. Indust. Appl. Math. 24 (1) 79 - 104, February 2007.

Information

Published: February 2007
First available in Project Euclid: 11 December 2007

zbMATH: 1123.35022
MathSciNet: MR2312296

Rights: Copyright © 2007 The Japan Society for Industrial and Applied Mathematics

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Vol.24 • No. 1 • February 2007
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