12 citations · 14 across the 9 of their papers we have counts for
10 papers
Propagation phenomena in KPP-bistable periodic patchy environments
Quentin Griette, François Hamel, Mingmin Zhang +1
This paper first investigates the propagation dynamics of solutions to the Cauchy problem for a one-dimensional reaction-diffusion equation in a spatially periodic environment cons…
Potential flows away from stagnation in infinite cylinders
François Hamel, Aram Karakhanyan
Steady incompressible potential flows of an inviscid or viscous fluid are considered in infinite N-dimensional cylinders with tangential boundary conditions. We show that such flow…
KPP transition fronts in a one-dimensional two-patch habitat
François Hamel, Mingmin Zhang
This paper is concerned with the existence of transition fronts for a one-dimensional twopatch model with KPP reaction terms. Density and flux conditions are imposed at the interfa…
Spreading, flattening and logarithmic lag for reaction-diffusion equations in R^N: old and new results
François Hamel, Luca Rossi
This paper is concerned with the large-time dynamics of bounded solutions of reaction-diffusion equations with bounded or unbounded initial support in R N. We start with a survey o…
Spreading sets and one-dimensional symmetry for reaction-diffusion equations
François Hamel, Luca Rossi
We consider reaction-diffusion equations in the whole space and we are interested in the large-time dynamics of solutions ranging in the interv…
Asymptotic one-dimensional symmetry for the Fisher-KPP equation
François Hamel, Luca Rossi
Let be a solution of the Fisher-KPP equation We address the following question: does become locally planar as $t\to…
Propagation and blocking in a two-patch reaction-diffusion model
François Hamel, Frithjof Lutscher, Mingmin Zhang
This paper is concerned with propagation phenomena for the solutions of the Cauchy problem associated with a two-patch one-dimensional reaction-diffusion model. It is assumed that…
Propagation phenomena in periodic patchy landscapes with interface conditions
François Hamel, Frithjof Lutscher, Mingmin Zhang
This paper is concerned with a model for the dynamics of a single species in a one-dimensional heterogeneous environment. The environment consists of two kinds of patches, which ar…
Localized and Expanding Entire Solutions of Reaction-Diffusion Equations
F. Hamel, H Ninomiya
This paper is concerned with the spatio-temporal dynamics of nonnegative bounded entire solutions of some reaction-diffusion equations in R N in any space dimension N. The solution…
Sharp thresholds between finite spread and uniform convergence for a reaction-diffusion equation with oscillating initial data
Thomas Giletti, François Hamel
We investigate the large-time dynamics of solutions of multi-dimensional reaction-diffusion equations with ignition type nonlinearities. We consider solutions which are in some sen…