3 citations · 5 across the 4 of their papers we have counts for
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The effect of a line with non-local diffusion on Fisher-KPP propagation
Henri Berestycki, Anne-Charline Coulon, Jean-Michel Roquejoffre +1
We propose here a new model of accelerating fronts, consisting of one equation with non-local diffusion on a line, coupled via the boundary condition with a reaction-diffusion equa…
Exponential propagation for fractional reaction-diffusion cooperative systems with fast decaying initial conditions
Anne-Charline Coulon, Miguel Yangari
We study the time asymptotic propagation of solutions to the reaction-diffusion cooperative systems with fractional diffusion. We prove that the propagation speed is exponential in…
Propagation in Fisher-KPP type equations with fractional diffusion in periodic media
Xavier Cabre, Anne-Charline Coulon, Jean-Michel Roquejoffre
We are interested in the time asymptotic location of the level sets of solutions to Fisher-KPP reaction-diffusion equations with fractional diffusion in periodic media. We show tha…
Transition between linear and exponential propagation in Fisher-KPP type reaction-diffusion equations
Anne-Charline Coulon, Jean-Michel Roquejoffre
We study the Fisher-KPP equation with a fractional laplacian of order α \in (0, 1). We know that the stable state invades the unstable one at constant speed for α = 1, and at an ex…