4 citations · 6 across the 4 of their papers we have counts for
5 papers · 1 filter
The Bramson delay in a Fisher-KPP equation with log-singular non-linearity
Emeric Bouin, Christopher Henderson
We consider a class of reaction-diffusion equations of Fisher-KPP type in which the nonlinearity (reaction term) is merely at due to a logarithmic competition term.…
Evolution of anisotropic diffusion in two-dimensional heterogeneous environments
Emeric Bouin, Guillaume Legendre, Yuan Lou +1
We consider a system of two competing populations in two-dimensional heterogeneous environments. The populations are assumed to move horizontally and vertically with different prob…
Diffusion with very weak confinement
Emeric Bouin, Jean Dolbeault, Christian Schmeiser
This paper is devoted to Fokker-Planck and linear kinetic equations with very weak confinement corresponding to a potential with an at most logarithmic growth and no integrable sta…
A variational proof of Nash's inequality
Emeric Bouin, Jean Dolbeault, Christian Schmeiser
This paper is intended to give a characterization of the optimality case in Nash's inequality, based on methods of nonlinear analysis for elliptic equations and techniques of the c…
Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration
Emeric Bouin, Vincent Calvez, Nicolas Meunier +4
Invasion fronts in ecology are well studied but very few mathematical results concern the case with variable motility (possibly due to mutations). Based on an apparently simple rea…