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 …

This paper deals with the spatially homogeneous Boltzmann equation when grazing
collisions are involved. We study in a unified setting the Boltzmann equation without cut-off …

We study the large-data Cauchy problem for Boltzmann equations with general collision
kernels. We prove that sequences of solutions which satisfy only the physically natural a …

The aim of this book is to present some mathematical results describing the transition from
kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to …

As part of our study of convergence to equilibrium for spatially inhomogeneous kinetic
equations, started in [21], we derive estimates on the rate of convergence to equilibrium for …

The present work establishes a Navier–Stokes limit for the Boltzmann equation considered
over the infinite spatial domain R 3. Appropriately scaled families of DiPerna-Lions …

We consider both soft potentials with angular cutoff and Landau collision kernels in the
Boltzmann theory inside a periodic box. We prove that any smooth perturbation near a given …

For a general class of linear collisional kinetic models in the torus, including in particular the
linearized Boltzmann equation for hard spheres, the linearized Landau equation with hard …

An important class of collision kernels in the Boltzmann theory are governed by the inverse
power law, in which the intermolecular potential between two particles is an inverse power …

By direct interpolation of a family of smooth energy estimates for solutions near Maxwellian
equilibrium and in a periodic box to several Boltzmann type equations in Guo () and Strain …