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 …

Accurate modeling of gas microflow is crucial for the microfluidic devices in MEMS. Gas
microflows through these devices are often in the slip and transition flow regimes …

The previous chapters presented detailed derivations of various sets of transport equations,
and here we take a step back and collect the equations on a few pages. The chapter begins …

A new closure for Grad's 13 moment equations is presented that adds terms of Super-
Burnett order to the balances of pressure deviator and heat flux vector. The additional terms …

This article discusses the development of continuum models to describe processes in gases
in which the particle collisions cannot maintain thermal equilibrium. Such a situation typically …

This review is focused on molecular momentum transport at fluid-solid interfaces mainly
related to microfluidics and nanofluidics in micro-/nano-electro-mechanical systems …

The method of moments is employed to extend the validity of continuum-hydrodynamic
models into the transition-flow regime. An evaluation of the regularized 13 moment …

Recently a new system of field equations for the accurate description of flows in rarefied
gases, called regularized 13-moment equations, was obtained by means of a hybrid gas …

In hypersonic flows about space vehicles in low earth orbits or flows in microchannels of
microelectromechanical devices, the local Knudsen number lies in the continuum–transition …

Boundary conditions are the major obstacle in simulations based on advanced continuum
models of rarefied and micro-flows of gases. In this paper, we present a theory how to …