5 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…
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…
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…