90 citations · 237 across the 30 of their papers we have counts for
4 papers · 2 filters
Sharp large time behaviour in N -dimensional Fisher-KPP equations
Jean-Michel Roquejoffre, Luca Rossi, Violaine Roussier-Michon
We study the large time behaviour of the Fisher-KPP equation t u = u + u -- u 2 in spatial dimension N , when the initial datum is compactly supported. We prove the e…
Coupled reaction-diffusion equations on adjacent domains
Henri Berestycki, Luca Rossi, Andrea Tellini
We consider a reaction-diffusion system for two densities lying in adjacent domains of . We treat two configurations: either a cylinder and its complement, or two hal…
Influence of a road on a population in an ecological niche facing climate change
Henri Berestycki, Romain Ducasse, Luca Rossi
We introduce a model designed to account for the influence of a line with fast diffusion-such as a road or another transport network-on the dynamics of a population in an ecologica…
Pulsating solutions for multidimensional bistable and multistable equations
Thomas Giletti, Luca Rossi
We devote this paper to the issue of existence of pulsating travelling front solutions for spatially periodic heterogeneous reaction-diffusion equations in arbitrary dimension, in…