285 citations · 682 across the 44 of their papers we have counts for
4 papers · 1 filter
A coupling approach for the convergence to equilibrium for a collisionless gas
Armand Bernou, Nicolas Fournier
We use a probabilistic approach to study the rate of convergence to equilibrium for a collisionless (Knudsen) gas in dimension equal to or larger than 2. The use of a coupling betw…
Finiteness of entropy for the homogeneous Boltzmann equation with measure initial condition
Nicolas Fournier
We consider the spatially homogeneous Boltzmann equation for (true) hard and moderately soft potentials. We assume that the initial condition is a probability measure with fin…
Asymptotic of grazing collisions and particle approximation for the Kac equation without cutoff
Nicolas Fournier, David Godinho
The subject of this article is the Kac equation without cutoff. We first show that in the asymptotic of grazing collisions, the Kac equation can be approximated by a Fokker-Planck…
Particle approximation of some Landau equations
Nicolas Fournier
We consider a class of nonlinear partial-differential equations, including the spatially homogeneous Fokker-Planck-Landau equation for Maxwell (or pseudo-Maxwell) molecules. Contin…