The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 1. The Cauchy problem on the real line

We study the Cauchy problem on the real line for the nonlocal Fisher-KPP equation in one spatial dimension, \begin{equation*} u_t = D u_{xx} + u(1-\phi *u), \end{equation*} where $\phi *u$ is a spatial convolution with the top hat kernel, $\phi (y) \equiv H\left (\frac{1}{4}-y^2\righ...

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Bibliographic Details

Published in:	European Journal of Applied Mathematics
Main Authors:	David John Needham, John Billingham, Nikolaos Michael Ladas, John Meyer
Format:	Article
Language:	English
Published:	Cambridge University Press
Subjects:	Nonlocal reaction-diffusion equations asymptotic analysis numerical analysis 35R09 35B25 35B32 35B36 35C07 35C20 35K57 35Q92 45K05
Online Access:	https://www.cambridge.org/core/product/identifier/S0956792524000688/type/journal_article