Propagation in a fractional reaction-diffusion equation in a periodically hostile environment
Analysis of PDEs
2019-10-28 v2
Abstract
We provide an asymptotic analysis of a fractional Fisher-KPP type equation in periodic non-connected 1-dimensional media with Dirichlet conditions outside the domain. After demonstrating the existence and uniqueness of a non-trivial bounded stationary state , we prove that the stable state invades the unstable state 0 with a speed which is exponential in time.
Keywords
Cite
@article{arxiv.1905.04880,
title = {Propagation in a fractional reaction-diffusion equation in a periodically hostile environment},
author = {Alexis Léculier and Sepideh Mirrahimi and Jean-Michel Roquejoffre},
journal= {arXiv preprint arXiv:1905.04880},
year = {2019}
}