Item


Speed of reaction-diffusion fronts in spatially heterogeneous media

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

American Physical Society

Author: Méndez López, Vicenç
Fort, Joaquim
Rotstein, Horacio G.
Fedotov, Sergei
Abstract: 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
Document access: http://hdl.handle.net/2072/209785
Language: eng
Publisher: American Physical Society
Rights: Tots els drets reservats
Subject: Equacions de reacció-difusió
Reaction-diffusion equations
Title: Speed of reaction-diffusion fronts in spatially heterogeneous media
Type: info:eu-repo/semantics/article
Repository: Recercat

Subjects

Authors