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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

Autor: Méndez López, Vicenç
Fort, Joaquim
Rotstein, Horacio G.
Fedotov, Sergei
Data: 2003
Resum: 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)
Accés al document: http://hdl.handle.net/10256/7706
Llenguatge: eng
Editor: American Physical Society
Col·lecció: Reproducció digital del document publicat a: http://link.aps.org/doi/10.1103/PhysRevE.68.041105
Articles publicats (D-F)
És part de: © Physical Review E, 2003, vol. 68, núm. 4, p. 041105
Drets: Tots els drets reservats
Matèria: Equacions de reacció-difusió
Reaction-diffusion equations
Títol: Speed of reaction-diffusion fronts in spatially heterogeneous media
Tipus: info:eu-repo/semantics/article
Repositori: DUGiDocs

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