Speed of reaction-diffusion fronts in spatially heterogeneous media.

Vicenç Méndez, Joaquim Fort, Horacio G Rotstein, Sergei Fedotov

    Research output: Contribution to journalArticlepeer-review

    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.
    Original languageEnglish
    JournalPhysical review. E, Statistical, nonlinear, and soft matter physics
    Volume68
    Issue number4 Pt 1
    DOIs
    Publication statusPublished - Oct 2003

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