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 …

▪ Abstract In the framework of the classical gas dynamics, no steady flow is induced in a gas
without an external force, such as gravity, by the effect of a temperature field. In a rarefied …

2 Chapter 1. Introduction on. Owing to the derivation of the Navier~ Stokes set of equations,
Chapman~ Enskog expansion is mainly referred to when the relation between fluid …

A lattice Boltzmann model with a multiple-relaxation-time (MRT) collision operator for the
convection–diffusion equation is presented. The model uses seven discrete velocities in …

In this paper we present accurate methods for the numerical solution of the Boltzmann
equation of rarefied gas. The methods are based on a time splitting technique. The transport …

A boundary scheme in the lattice Boltzmann method (LBM) for the convection-diffusion
equation, which correctly realizes the internal boundary condition at the interface between …

These lecture notes review recent results on the high-frequency analysis of nonlinear
Schrödinger equations in the presence of an external potential. The book consists of two …

This article is the combination of a review and some new results of kinetic theoretical studies
on the half-space problem of evaporation and condensation. A semi-infinite expanse of a …

A unidirectional flow of a rarefied gas between two parallel plates driven by a uniform
external force is investigated on the basis of kinetic theory with special interest in the …

Heat flow and temperature and density distributions in a rarefied gas between two parallel
plates at rest with different uniform temperatures are analyzed numerically on the basis of …