TY - JOUR
T1 - Speed of reaction-diffusion fronts in spatially heterogeneous media
AU - Méndez, Vicenç
AU - Fort, Joaquim
AU - Rotstein, Horacio G.
AU - Fedotov, Sergei
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2003
Y1 - 2003
N2 - The front speed problem for nonuniform reaction rate and diffusion coefficient is studied by using singular perturbation analysis, the geometric approach of Hamilton-Jacobi dynamics, and the local speed approach. Exact and perturbed expressions for the front speed are obtained in the limit of large times. For linear and fractal heterogeneities, the analytic results have been compared with numerical results exhibiting a good agreement. Finally we reach a general expression for the speed of the front in the case of smooth and weak heterogeneities.
AB - The front speed problem for nonuniform reaction rate and diffusion coefficient is studied by using singular perturbation analysis, the geometric approach of Hamilton-Jacobi dynamics, and the local speed approach. Exact and perturbed expressions for the front speed are obtained in the limit of large times. For linear and fractal heterogeneities, the analytic results have been compared with numerical results exhibiting a good agreement. Finally we reach a general expression for the speed of the front in the case of smooth and weak heterogeneities.
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U2 - 10.1103/PhysRevE.68.041105
DO - 10.1103/PhysRevE.68.041105
M3 - Article
AN - SCOPUS:85035308109
VL - 68
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
SN - 1063-651X
IS - 4
ER -