Discrete velocity models with general boundary conditions in a slab

Abstract

We consider a gas between parallel plates, described by a discrete velocity model. At the boundary, we impose the most general linear boundary conditions which preserve mass. Using a fixed-point theorem we prove the existence of at least one parameter family of solutions, continuous in x. The velocities are assumed to have a non-zero component in the direction orthogonal to the boundaries. Copyright © 2001 John Wiley & Sons, Ltd.