9 research outputs found
THE EUROPEAN PHYSICAL JOURNAL B Front propagation in reaction-dispersal with anomalous distributions
No full textAbstract. 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 longtailed 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
Front propagation in reaction-dispersal with anomalous distributions
No full textThe 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
Front propagation in reaction-dispersal with anomalous distributions
No full textThe 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/SocietĂ Italiana di Fisica/Springer-Verlag 200605.40.Fb Random walks and Levy flights, 05.60.Cd Classical transport, 82.40.-g Chemical kinetics and reactions: special regimes and techniques,
