5 citations · 9 across the 11 of their papers we have counts for
14 papers
Thresholds, fragmentation and symmetrization in parabolic equations
Matthieu Alfaro, Yihong Du, François Hamel +1
This paper is mainly concerned with the large-time dynamics of bounded nonnegative solutions of reaction-diffusion equations on the real line with nonlinearities mainly of the bist…
Traveling Wave Solutions For A Singular Diffusive Prey-Predator Model With Nonlocal Dispersal
Jong-Shenq Guo, François Hamel, Chin-Chin Wu
We study a singular diffusive prey-predator system with nonlocal dispersal for which the carrying capacity of the predator is proportional to the density of prey. We show the exist…
Log-concavity and anti-maximum principles for semilinear and linear elliptic equations
François Hamel, Nikolai Nadirashvili
This paper is concerned with existence and qualitative properties of positive solutions of semilinear elliptic equations in bounded domains with Dirichlet boundary conditions. We s…
Periodic KPP equations: new insights into persistence, spreading, and the role of advection
Nathanaël Boutillon, François Hamel, Lionel Roques
We focus on the persistence and spreading properties for a heterogeneous Fisher-KPP equation with advection. After reviewing the different notions of persistence and spreading spee…
A Faber-Krahn inequality for the Laplacian with drift under Robin boundary condition
François Hamel, Emmanuel Russ
We prove a Faber-Krahn inequality for the Laplacian with drift under Robin boundary condition, provided that the parameter in the Robin condition is large enough. The proof rel…
Adaptation in a heterogeneous environment II: To be three or not to be
M. Alfaro, F. Hamel, F. Patout +1
We propose a model to describe the adaptation of a phenotypically structured population in a -patch environment connected by migration, with each patch associated with a differe…
Bistable pulsating fronts in slowly oscillating environments *
Weiwei Ding, François Hamel, Xing Liang
We consider reaction-diffusion fronts in spatially periodic bistable media with large periods. Whereas the homogenization regime associated with small periods had been well studied…
Diameters of the level sets for reaction-diffusion equations in nonperiodic slowly varying media *
François Hamel, Grégoire Nadin
We consider in this article reaction-diffusion equations of the Fisher-KPP type with a nonlinearity depending on the space variable x, oscillating slowly and non-periodically. We a…
Spreading speeds and spreading sets of reaction-diffusion equations
François Hamel, Luca Rossi
This paper deals with the large time dynamics of bounded solutions of reaction-diffusion equations with unbounded initial support in . We prove a variational formula…
Reaction-diffusion fronts in funnel-shaped domains
François Hamel, Mingmin Zhang
We consider bistable reaction-diffusion equations in funnel-shaped domains of R N made up of straight parts and conical parts with positive opening angles. We study the large time…
Propagation in a Fisher-KPP equation with non-local advection *
François Hamel, Christopher Henderson
We investigate the influence of a general non-local advection term of the form K * u to propagation in the one-dimensional Fisher-KPP equation. This model is a generalization of th…
Large time monotonicity of solutions of reaction-diffusion equations in R^N
Emmanuel Grenier, François Hamel
In this paper, we consider nonnegative solutions of spatially heterogeneous Fisher-KPP type reaction-diffusion equations in the whole space. Under some assumptions on the initial c…
Transition fronts and stretching phenomena for a general class of reaction-dispersion equations
Jimmy Garnier, François Hamel, Lionel Roques
We consider a general form of reaction-dispersion equations with non-local dispersal and local reaction. Under some general conditions, we prove the non-existence of transition fro…
A one-dimensional symmetry result for solutions of an integral equation of convolution type
François Hamel, Enrico Valdinoci
We consider an integral equation in the plane, in which the leading operator is of convolution type, and we prove that monotone (or stable) solutions are necessarily one-dimensiona…