The goal of this review paper is to provide the reader with a concise introduction to the
mathematical theory of collision processes in (dilute) gases and plasmas, viewed as a …

The description of emerging collective phenomena and self-organization in systems
composed of large numbers of individuals has gained increasing interest from various …

This is the first comprehensive introduction to the theory of mass transportation with its many—
and sometimes unexpected—applications. In a novel approach to the subject, the book both …

This essay is intended to present a fruitful collaboration which has developed among a
group of people whose names are listed above: entropy methods have proved over the last …

We study the Cauchy problem for the homogeneous Landau equation of kinetic theory, in
the case of hard potentials. We prove that for a large class of initial data, there exists a …

This paper is devoted to the study of propagation of chaos and mean-field limits for systems
of indistinguishable particles, undergoing collision processes. The prime examples we will …

We prove a comparison result for viscosity solutions of second order parabolic partial
differential equations in the Wasserstein space. The comparison is valid for semisolutions …

ON THE SPATIALLY HOMOGENEOUS LANDAU EQUATION FOR MAXWELLIAN MOLECULES
Page 1 Mathematical Models and Methods in Applied Sciences Vol. 8, No. 6 (1998) 957-983 …

We derive a new lower bound for the entropy dissipation associated with the spatially
homogeneous Boltzmann equation. This bound is expressed in terms of the relative entropy …

We introduce a class of exponential Runge–Kutta integration methods for kinetic equations.
The methods are based on a decomposition of the collision operator into an equilibrium and …