most citedLocalized and Expanding Entire Solutions of Reaction-Diffusion Equations

1 citations · 1 across the 1 of their papers we have counts for

collaborators

5 papers

math.AP2026

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…

math.AP2023

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…

math.AP2023

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…

math.AP2023

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…

math.AP20201 cited

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…