The Euler Description for a Class of Discrete Models of Gases with Multiple Collisions

Abstract

Two difficulties arise in discrete kinetic theory with binary collisions only. The first one is the existence of some macroscopic variables other than mass, momentum and energy, in relation to parasite summational invariants. The second one concerns the anisotropic character generally related to the models. In order to eliminate these difficulties, multiple collisions are introduced, and some symmetry properties on the models are adopted. The Euler equations are then given for discrete models with different moduli.