Propagation in Fisher-KPP type equations with fractional diffusion in periodic media
Analysis of PDEs
2012-09-24 v1
Abstract
We are interested in the time asymptotic location of the level sets of solutions to Fisher-KPP reaction-diffusion equations with fractional diffusion in periodic media. We show that the speed of propagation is exponential in time, with a precise exponent depending on a periodic principal eigenvalue, and that it does not depend on the space direction. This is in contrast with the Freidlin-G\"artner formula for the standard Laplacian.
Keywords
Cite
@article{arxiv.1209.4809,
title = {Propagation in Fisher-KPP type equations with fractional diffusion in periodic media},
author = {Xavier Cabre and Anne-Charline Coulon and Jean-Michel Roquejoffre},
journal= {arXiv preprint arXiv:1209.4809},
year = {2012}
}
Comments
7 pages