Complex Systems

Exact Solutions for Some Discrete Models of the Boltzmann Equation Download PDF

Henri Cabannes
Laboratoire de Mécanique Théorique, associé au C.N.R.S.,
Université Pierre et Marie Curie, 4 place Jussieu,
75005 Paris, France

Dang Hong Tiem
Université de Reims, UER des Sciences,
Moulin de la House, 51062 Reims Cedex, France

Abstract

For the simplest of the discrete models of the Boltzmann equations, the Broadwell model, exact solutions have been obtained by Cornille [15,16] in the form of bisolitons. In the present paper, we build exact solutions for more complex models.