Existence of self-accelerating fronts for a non-local reaction-diffusion equations
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Authors
Berestycki, Nathanaël
Mouhot, Clément
Raoul, Gaël
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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Keywords
math.AP, math.AP