3 papers
math.AP2015
Front blocking and propagation in cylinders with varying cross section
Henri Berestycki, Juliette Bouhours, Guillemette Chapuisat
In this paper we consider a bistable reaction-diffusion equation in unbounded domains and we investigate the existence of propagation phenomena, possibly partial, in some direction…
math.AP2012
Traveling fronts guided by the environment for reaction-diffusion equations
Henri Berestycki, Guillemette Chapuisat
This paper deals with the existence of traveling fronts guided by the medium for a KPP reaction-diffusion equation coming from a model in population dynamics in which there is spat…
math.AP2010
Asymptotic profiles for a travelling front solution of a biological equation
Guillemette Chapuisat, Romain Joly
We are interested in the existence of depolarization waves in the human brain. These waves propagate in the grey matter and are absorbed in the white matter. We consider a two-dime…