| Issue |
EPL
Volume 122, Number 1, April 2018
|
|
|---|---|---|
| Article Number | 10001 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/122/10001 | |
| Published online | 21 May 2018 | |
A new approach to computing the asymptotics of the position of Fisher-KPP fronts(a)
1 Department of Statistics, University of Oxford - Oxford, UK
2 Laboratoire de Physique Statistique, École Normale Supérieure, PSL Research University; Université Paris Diderot Sorbonne Paris-Cité; Sorbonne Université; CNRS - Paris, France
3 Collège de France, Laboratoire de Physique Statistique, École Normale Supérieure - Paris, France
(b) Julien.Berestycki@stats.ox.ac.uk
(c) Eric.Brunet@lps.ens.fr
(d) Bernard.Derrida@lps.ens.fr
Received: 19 February 2018
Accepted: 7 May 2018
This paper presents a novel way of computing front positions in Fisher-KPP equations. Our method is based on an exact relation between the Laplace transform of the initial condition and some integral functional of the front position. Using singularity analysis, one can obtain the asymptotics of the front position up to the 
term. Our approach is robust and can be generalised to other front equations.
PACS: 02.30.Jr – Partial differential equations / 02.40.Xx – Singularity theory
© EPLA, 2018
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