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Title of Journal: Commun Math Phys

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Abbravation: Communications in Mathematical Physics

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Springer Berlin Heidelberg

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DOI

10.1007/3-540-63255-7_8

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1432-0916

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The Shape of Expansion Induced by a Line with Fast

Authors: Henri Berestycki JeanMichel Roquejoffre Luca Rossi
Publish Date: 2016/02/11
Volume: 343, Issue: 1, Pages: 207-232
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Abstract

We establish a new property of FisherKPP type propagation in a plane in the presence of a line with fast diffusion We prove that the line enhances the asymptotic speed of propagation in a cone of directions Past the critical angle given by this cone the asymptotic speed of propagation coincides with the classical FisherKPP invasion speed Several qualitative properties are further derived such as the limiting behaviour when the diffusion on the line goes to infinity

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