When fast diffusion and reactive growth both induce accelerating invasions
Analysis of PDEs
2018-09-20 v1
Abstract
We focus on the spreading properties of solutions of monostable equations with fast diffusion. The nonlinear reaction term involves a weak Allee effect, which tends to slow down the propagation. We complete the picture of [3] by studying the subtle case where acceleration does occur and is induced by a combination of fast diffusion and of reactive growth. This requires the construction of new elaborate sub and supersolutions thanks to some underlying self-similar solutions.
Cite
@article{arxiv.1809.07038,
title = {When fast diffusion and reactive growth both induce accelerating invasions},
author = {Matthieu Alfaro and Thomas Giletti},
journal= {arXiv preprint arXiv:1809.07038},
year = {2018}
}