Existence of self-accelerating fronts for a non-local reaction-diffusion equations
Analysis of PDEs
2015-12-08 v2
Abstract
We describe the accelerated propagation wave arising from a non-local reaction-diffusion equation. This equation originates from an ecological problem, where accelerated biological invasions have been documented. The analysis is based on the comparison of this model with a related local equation, and on the analysis of the dynamics of the solutions of this second model thanks to probabilistic methods.
Cite
@article{arxiv.1512.00903,
title = {Existence of self-accelerating fronts for a non-local reaction-diffusion equations},
author = {Nathanaël Berestycki and Clément Mouhot and Gaël Raoul},
journal= {arXiv preprint arXiv:1512.00903},
year = {2015}
}
Comments
added Acknowledgements