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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

© Physical Review E, 2003, vol. 68, núm. 4, p. 041105

American Physical Society

Author: Méndez López, Vicenç
Fort, Joaquim
Rotstein, Horacio G.
Fedotov, Sergei
Date: 2003
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
Format: application/pdf
ISSN: 1539-3755 (versió paper)
1550-2376 (versió electrònica)
Document access: http://hdl.handle.net/10256/7706
Language: eng
Publisher: American Physical Society
Collection: Reproducció digital del document publicat a: http://link.aps.org/doi/10.1103/PhysRevE.68.041105
Articles publicats (D-F)
Is part of: © Physical Review E, 2003, vol. 68, núm. 4, p. 041105
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: DUGiDocs

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