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Front propagation in reaction-dispersal with anomalous distributions

  • Statistical and Nonlinear Physics
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The European Physical Journal B - Condensed Matter and Complex Systems Aims and scope Submit manuscript

Abstract.

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.

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Authors and Affiliations

  1. Grup de Física Estadística, Departament de Física, Facultat de Ciències, Edifici Cc. 08193 - Cerdanyola, Bellaterra, Spain

    V. Méndez, V. Ortega-Cejas & J. Casas-Vázquez

Authors
  1. V. Méndez
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  2. V. Ortega-Cejas
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  3. J. Casas-Vázquez
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Correspondence to V. Méndez.

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Méndez, V., Ortega-Cejas, V. & Casas-Vázquez, J. Front propagation in reaction-dispersal with anomalous distributions. Eur. Phys. J. B 53, 503–507 (2006). https://doi.org/10.1140/epjb/e2006-00403-7

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  • DOI: https://doi.org/10.1140/epjb/e2006-00403-7

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