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Dynamical features of reaction-diffusion fronts in fractals

The speed of front propagation in fractals is studied by using (i) the reduction of the reaction-transport equation into a Hamilton-Jacobi equation and (ii) the local-equilibrium approach. Different equations proposed for describing transport in fractal media, together with logistic reaction kinetics, are considered. Finally, we analyze the main features of wave fronts resulting from this dynamic process, i.e., why they are accelerated and what is the exact form of this acceleration

© Physical Review E, 2004, vol. 69, núm. 1, p. 016613

American Physical Society

Author: Méndez López, Vicenç
Campos, Daniel
Fort, Joaquim
Date: 2004
Abstract: The speed of front propagation in fractals is studied by using (i) the reduction of the reaction-transport equation into a Hamilton-Jacobi equation and (ii) the local-equilibrium approach. Different equations proposed for describing transport in fractal media, together with logistic reaction kinetics, are considered. Finally, we analyze the main features of wave fronts resulting from this dynamic process, i.e., why they are accelerated and what is the exact form of this acceleration
Format: application/pdf
ISSN: 1539-3755 (versió paper)
1550-2376 (versió electrònica)
Document access: http://hdl.handle.net/10256/7622
Language: eng
Publisher: American Physical Society
Collection: Reproducció digital del document publicat a: http://dx.doi.org/10.1103/PhysRevE.69.016613
Articles publicats (D-F)
Is part of: © Physical Review E, 2004, vol. 69, núm. 1, p. 016613
Rights: Tots els drets reservats
Subject: Equacions de reacció-difusió
Reaction-diffusion equations
Fractals
Title: Dynamical features of reaction-diffusion fronts in fractals
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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