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 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 …

The dynamics of dilute electrons can be modeled by the Vlasov‐Poisson‐Boltz‐mann
system, where electrons interact with themselves through collisions and with their self …

Boundaries occur naturally in kinetic equations, and boundary effects are crucial for
dynamics of dilute gases governed by the Boltzmann equation. We develop a mathematical …

Perhaps the most fundamental model for dynamics of dilute charged particles is described
by the Vlasov-Maxwell-Boltzmann system, in which particles interact with themselves …

We prove that the renormalized solutions of the Boltzmann equation considered in a
bounded domain with different types of (kinetic) boundary conditions converge to the Stokes …

We establish the existence of a weak solutions for a coupled system of kinetic and fluid
equations. More precisely, we consider a Vlasov–Fokker–Planck equation coupled to …

The Shockley–Read–Hall model for generation-recombination of electron-hole pairs in
semiconductors based on a quasi-stationary approximation for electrons in a trapped state is …

The interaction between multiphase fluids and structure in engineering is ubiquitous, in
which the capture of the contact line between the multiphase fluids and the moving structure …

The present book aims at presenting in a systematic, painstaking and rather exhaustive
manner the incompressible viscous fluid limits of the system of Vlasov–Maxwell–Boltzmann …