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Preprints, Working Papers, ... Year : 2022

Large deviations and the emergence of a logarithmic delay in a nonlocal Fisher-KPP equation

Abstract

We study a variant of the Fisher-KPP equation with nonlocal dispersal. Using the theory of large deviations, we show the emergence of a "Bramson-like" logarithmic delay for the linearised equation with step-like initial data. We conclude that the logarithmic delay emerges also for the solutions of the nonlinear equation.
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Dates and versions

hal-03637731 , version 1 (11-04-2022)
hal-03637731 , version 2 (20-05-2022)

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Nathanaël Boutillon. Large deviations and the emergence of a logarithmic delay in a nonlocal Fisher-KPP equation. 2022. ⟨hal-03637731v1⟩
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