arXiv:2204.06593 Abstract | arXiv Analytics

arXiv:2204.06593 [math.AP]Abstract References Reviews Resources

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

Published 2022-04-13Version 1

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.

Comments: 20 pages, 1 figure

Categories: math.AP

Subjects: 35K57, 35B40, 60F10

Keywords: nonlocal fisher-kpp equation, large deviations, logarithmic delay emerges, nonlinear equation, step-like initial data

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