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arXiv · 1512.00903

Existence of self-accelerating fronts for a non-local reaction-diffusion equations

Nathanaël Berestycki·Clément Mouhot·Gaël Raoul
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Abstract

We describe the accelerated propagation wave arising from a non-local reaction-diffusion equation. This equation originates from an ecological problem, where accelerated biological invasions have been documented. The analysis is based on the comparison of this model with a related local equation, and on the analysis of the dynamics of the solutions of this second model thanks to probabilistic methods.

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Nathanaël Berestycki, Clément Mouhot, Gaël Raoul. 2015-12-07. Existence of self-accelerating fronts for a non-local reaction-diffusion equations. https://arxiv.org/abs/1512.00903

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