173 citations · 313 across the 11 of their papers we have counts for
11 papers
A Duality-Based Proof of the Triangle Inequality for the Wasserstein Distances
François Golse
This short note gives a proof of the triangle inequality based on the Kantorovich duality formula for the Wasserstein distances of exponent in the case of a gener…
Pickl's Proof of the Quantum Mean-Field Limit and Quantum Klimontovich Solutions
Immanuel Ben Porat, François Golse
This paper discusses the mean-field limit for the quantum dynamics of identical bosons in interacting via a binary potential with Coulomb type singularity. Our ap…
Quantization of Measures and Gradient Flows: a Perturbative Approach in the 2-Dimensional Case
Emanuele Caglioti, François Golse, Mikaela Iacobelli
In this paper we study a perturbative approach to the problem of quantization of measures in the plane. Motivated by the fact that, as the number of points tends to infinity, hexag…
The Steady Boltzmann and Navier-Stokes Equations
Kazuo Aoki, François Golse, Shingo Kosuge
The paper discusses the similarities and the differences in the mathematical theories of the steady Boltzmann and incompressible Navier-Stokes equations posed in a bounded domain.…
A gradient flow approach to quantization of measures
Emanuele Caglioti, François Golse, Mikaela Iacobelli
In this paper we study a gradient flow approach to the problem of quantization of measures in one dimension. By embedding our problem in , we find a continuous version of it t…
On the Dynamics of Large Particle Systems in the Mean Field Limit
François Golse
This course explains how the usual mean field evolution partial differential equations (PDEs) in Statistical Physics - such as the Vlasov-Poisson system, the vorticity formulation…
Recent Results on the Periodic Lorentz Gas
François Golse
The Drude-Lorentz model for the motion of electrons in a solid is a classical model in statistical mechanics, where electrons are represented as point particles bouncing on a fixed…
The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions
Emanuele Caglioti, François Golse
The periodic Lorentz gas is the dynamical system corresponding to the free motion of a point particle in a periodic system of fixed spherical obstacles of radius centered at th…
Bursting Dynamics of the 3D Euler Equations in Cylindrical Domains
François Golse, Alex Mahalov, Basil Nicolaenko
A class of three-dimensional initial data characterized by uniformly large vorticity is considered for the Euler equations of incompressible fluids. The fast singular oscillating l…
On the Periodic Lorentz Gas and the Lorentz Kinetic Equation
François Golse
We prove that the Boltzmann-Grad limit of the Lorentz gas with periodic distribution of scatterers cannot be described with a linear Boltzmann equation. This is at variance with th…
On the distribution of free-path lengths for the periodic Lorentz gas III
Emanuele Caglioti, Francois Golse
In a flat 2-torus with a disk of diameter removed, let be the distribution of free-path lengths (the probability that a segment of length larger than with uniforml…