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arXiv · 1802.03262

A new approach to computing the asymptotics of the position of Fisher-KPP fronts

Julien Berestycki·Éric Brunet·Bernard Derrida
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Abstract

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 O(log t/t) term. Our approach is robust and can be generalised to other front equations.

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Julien Berestycki, Éric Brunet, Bernard Derrida. 2018-02-09. A new approach to computing the asymptotics of the position of Fisher-KPP fronts. https://doi.org/10.1209/0295-5075/122/10001

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