Laure Saint-Raymond

From Newton to Boltzmann: Hard Spheres and Short-range Potentials

We provide a rigorous derivation of the Boltzmann equation as the mesoscopic limit of systems of hard spheres, or Newtonian particles interacting via a short-range potential, as the number of particles

THE VLASOV-POISSON SYSTEM WITH STRONG MAGNETIC FIELD

N

The Incompressible Navier-Stokes Limit of the Boltzmann Equation for Hard Cutoff Potentials

goes to infinity and the characteristic length of interaction

Chapter 5 – On the influence of the Earth's Rotation on Geophysical Flows

\e

DISCRETE TIME NAVIER-STOKES LIMIT FOR THE BGK BOLTZMANN EQUATION

simultaneously goes to

On Pressureless Gases Driven by a Strong Inhomogeneous Magnetic Field

0,

The Navier–Stokes limit for the Boltzmann equation

in the Boltzmann-Grad scaling

SEMICLASSICAL AND SPECTRAL ANALYSIS OF OCEANIC WAVES

N \e^{d-1} \equiv 1.

Mathematical study of the β-plane model for rotating fluids in a thin layer

The time of validity of the convergence is a fraction of the average time of first collision, due to a limitation of the time on which one can prove uniform estimates for the BBGKY and Boltzmann hierarchies. Our proof relies on the fundamental ideas of Lanford, and the important contributions of King, Cercignani, Illner and Pulvirenti, and Cercignani, Gerasimenko and Petrina. The main novelty here is the detailed study of pathological trajectories involving recollisions, which proves the term-by-term convergence for the correlation series expansion.

WEAK COMPACTNESS METHODS FOR SINGULAR PENALIZATION PROBLEMS WITH BOUNDARY LAYERS

Abstract This paper establishes various asymptotic limits of the Vlasov–Poisson equation with strong external magnetic field, some of which were announced in [14]. The so-called “guiding center approximation” is proved in the 2D case with a constant magnetic field orthogonal to the plane of motion, in various situations (noncollisional or weakly collisional). The 3D case is studied on the time scale of the motion along the lines of the magnetic field, much shorter than that of the guiding center motion. We discuss in particular the effect of nonconstant external magnetic fields.