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.
Publié le : 2007-02-14
Classification:
traveling fronts,
propagation speed,
autocatalytic reaction,
phase space
@article{1197390055,
author = {Hosono, Yuzo},
title = {Propagation Speeds of Traveling Fronts for Higher Order
Autocatalytic Reaction-Diffusion Systems},
journal = {Japan J. Indust. Appl. Math.},
volume = {24},
number = {1},
year = {2007},
pages = { 79-104},
language = {en},
url = {http://dml.mathdoc.fr/item/1197390055}
}
Hosono, Yuzo. Propagation Speeds of Traveling Fronts for Higher Order
Autocatalytic Reaction-Diffusion Systems. Japan J. Indust. Appl. Math., Tome 24 (2007) no. 1, pp. 79-104. http://gdmltest.u-ga.fr/item/1197390055/