91 citations · 228 across the 32 of their papers we have counts for
5 papers · 2 filters
On the definition and the properties of the principal eigenvalue of some nonlocal operators
Henri Berestycki, Jérôme Coville, Hoang-Hung Vo
In this article we study some spectral properties of the linear operator defined on the space by :$$ \mathcal{L}\_Ω[φ] +aφ:=\int\_ΩK(x,y)φ(y)\,dy+a(x)…
The effect of a line with non-local diffusion on Fisher-KPP propagation
Henri Berestycki, Anne-Charline Coulon, Jean-Michel Roquejoffre +1
We propose here a new model of accelerating fronts, consisting of one equation with non-local diffusion on a line, coupled via the boundary condition with a reaction-diffusion equa…
Analysis of a model for the dynamics of riots
Henri Berestycki, Nancy Rodriguez
This paper is concerned with modeling the dynamics of social outbursts of activity, such as protests or rioting activity. In this sequel to our work in \cite{Berestycki2014}, writt…
A model of riots dynamics: shocks, diffusion and thresholds
Henri Berestycki, Jean-Pierre Nadal, Nancy Rodriguez
We introduce and analyze several variants of a system of differential equations which model the dynamics of social outbursts, such as riots. The systems involve the coupling of an…
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…