activity
20062022
most citedOn the nonlocal Fisher-KPP equation: steady states, spreading speed and global bounds

77 citations · 196 across the 29 of their papers we have counts for

collaborators

34 papers

math.AP2022

Forced waves for a three-species predator-prey system with nonlocal dispersal in a shifting environment

Jong-Shenq Guo, Francois Hamel, C. -C Wu

We consider a three-species predator-prey system involving two competing predators and one prey. The species diffuse with nonlocal dispersal kernels with possibly non-compact suppo…

math.AP2020

When the Allee threshold is an evolutionary trait: persistence vs. extinction

Matthieu Alfaro, Léo Girardin, Francois Hamel +1

We consider a nonlocal parabolic equation describing the dynamics of a population structured by a spatial position and a phenotypic trait, submitted to dispersion , mutations and g…

math.AP2020

Adaptation in a heterogeneous environment. I: Persistence versus extinction

François Hamel, Florian Lavigne, Lionel Roques

Understanding how a diversity of plants in agroecosystems affects the adaptation of pathogens in a key issue in agroecology. We analyze PDE systems describing the dynamics of adapt…

math.AP2019★ 4 cited

Circular flows for the Euler equations in two-dimensional annular domains

Francois Hamel, Nikolai Nadirashvili

In this paper, we consider steady Euler flows in two-dimensional bounded annuli, as well as in exterior circular domains, in punctured disks and in the punctured plane. We always a…

math.AP2018

On generalized principal eigenvalues of nonlocal operators with a drift *

Jérôme Coville, Francois Hamel

This article is concerned with the following spectral problem: to find a positive function C 1 () and R such that q(x) (x) + ^ J(x, y)(y) dy + a(x)…

math.AP2018

On the mean speed of bistable transition fronts in unbounded domains

Hongjun Guo, Francois Hamel, Wei-Jie Sheng

This paper is concerned with the existence and further properties of propagation speeds of transition fronts for bistable reaction-diffusion equations in exterior domains and in so…