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Front propagation in reaction-dispersal with anomalous distributions

Listed author(s):
  • V. Méndez


  • V. Ortega-Cejas
  • J. Casas-Vázquez
Registered author(s):

    The speed of pulled fronts for parabolic fractional-reaction-dispersal equations is derived and analyzed. From the continuous-time random walk theory we derive these equations by considering long-tailed distributions for waiting times and dispersal distances. For both cases we obtain the corresponding Hamilton-Jacobi equation and show that the selected front speed obeys the minimum action principle. We impose physical restrictions on the speeds and obtain the corresponding conditions between a dimensionless number and the fractional indexes. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

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    Article provided by Springer & EDP Sciences in its journal The European Physical Journal B - Condensed Matter and Complex Systems.

    Volume (Year): 53 (2006)
    Issue (Month): 4 (October)
    Pages: 503-507

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    Handle: RePEc:spr:eurphb:v:53:y:2006:i:4:p:503-507
    DOI: 10.1140/epjb/e2006-00403-7
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