We consider a reaction-diffusion equation with a nonlinear term of the Fisher-KPP-type, depending on time t and admitting two limits as t -> +/-infinity. We derive the set of admissible asymptotic past and future speeds of transition fronts for such an equation. We further show that any transition front which is noncritical as t -> -infinity always admits two asymptotic past and future speeds. We finally describe the asymptotic profiles of the noncritical fronts as t -> +/-infinity.
Admissible speeds of transition fronts for nonautonomous monostable equations
ROSSI, LUCA
2015
Abstract
We consider a reaction-diffusion equation with a nonlinear term of the Fisher-KPP-type, depending on time t and admitting two limits as t -> +/-infinity. We derive the set of admissible asymptotic past and future speeds of transition fronts for such an equation. We further show that any transition front which is noncritical as t -> -infinity always admits two asymptotic past and future speeds. We finally describe the asymptotic profiles of the noncritical fronts as t -> +/-infinity.File in questo prodotto:
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