285 citations · 682 across the 44 of their papers we have counts for
Showing 2015 · math.PRShow all
3 papers · 2 filters
math.PR2015
From a Kac-like particle system to the Landau equation for hard potentials and Maxwell molecules
Nicolas Fournier, Arnaud Guillin
We prove a quantitative result of convergence of a conservative stochastic particle system to the solution of the homogeneous Landau equation for hard potentials. There are two mai…
math.PR2015★ 3 cited
Stochastic particle approximation of the Keller-Segel equation and two-dimensional generalization of Bessel processes
Nicolas Fournier, Benjamin Jourdain
The Keller-Segel partial differential equation is a two-dimensional model for chemotaxis. When the total mass of the initial density is one, it is known to exhibit blow-up in finit…
math.PR2015★ 32 cited
Propagation of chaos for the Landau equation with moderately soft potentials
Nicolas Fournier, Maxime Hauray
We consider the 3D Landau equation for moderately soft potentials ( with the usual notation) as well as a stochastic system of particles approximating it. We first…