ON THE STEADY SOLUTIONS OF THE GENERAL FOUR VELOCITY BROADWELL MODEL

Abstract

Existence and boundedness is proved for the solutions of boundary value problems resulting from the modelling of a flow in a rectangular box by the four velocity Broadwell model. The influence of the orientation of the model in relation to the sides of the rectangle on the form of the boundary value problem is analysed. The uniqueness of the maxwellian solutions is proved. The non uniqueness of the non maxwellian solutions is established by building different exact non maxwellian solutions for the same macroscopic density.