Journal article
Front propagation for reaction-diffusion equations of bistable type
Abstract
We present a direct PDE approach to study the behavior as ε → 0 of the solution uε of the reaction-diffusion equation: utε−εΔuε=(1/ε)f(uε) in ℝN × (0, ∞) in the case when f is the derivative of a bistable potential. Such singular perturbation problems arise in the study of large time wavefront propagations generated by such equations following a method introduced by M. Freidlin.
Authors
Barles G; Bronsard L; Souganidis PE
Journal
Annales de l Institut Henri Poincaré C Analyse Non Linéaire, Vol. 9, No. 5, pp. 479–496
Publisher
European Mathematical Society - EMS - Publishing House
Publication Date
October 1, 1992
DOI
10.1016/s0294-1449(16)30228-1
ISSN
0294-1449