167 citations · 358 across the 37 of their papers we have counts for
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Refined long time asymptotics for Fisher-KPP fronts
James Nolen, Jean-Michel Roquejoffre, Lenya Ryzhik
We study the one-dimensional Fisher-KPP equation, with an initial condition that coincides with the step function except on a compact set. A well-known result of M. Bramso…
Convergence to a single wave in the Fisher-KPP equation
James Nolen, Jean-Michel Roquejoffre, Lenya Ryzhik
We study the large time asymptotics of a solution of the Fisher-KPP reaction-diffusion equation, with an initial condition that is a compact perturbation of a step function. A well…
Front propagation directed by a line of fast diffusion: large diffusion and large time asymptotics
Laurent Dietrich, Jean-Michel Roquejoffre
The system under study is a reaction-diffusion equation in a horizontal strip, coupled to a diffusion equation on its upper boundary via an exchange condition of the Robin type. Th…