5 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…
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…