Dynamical features of reaction-diffusion fronts in fractals
Open Access
- 29 January 2004
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 69 (1) , 016613
- https://doi.org/10.1103/physreve.69.016613
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.Keywords
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