Front propagation in reaction-dispersal with anomalous distributions

V. Méndez (), V. Ortega-Cejas and J. Casas-Vázquez

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 53, issue 4, 503-507

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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Keywords: 05.40.Fb Random walks and Levy flights; 05.60.Cd Classical transport; 82.40.-g Chemical kinetics and reactions: special regimes and techniques (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1140/epjb/e2006-00403-7

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