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.
Méndez
Vicenç
V
Departament de Medicina, Facultat de Ciències de la Salut, Universitat Internacional de Catalunya, c/ Gomera s/n, 08190-Sant Cugat del Vallès (Barcelona), Spain.
Fort
Joaquim
J
Rotstein
Horacio G
HG
Fedotov
Sergei
S