On The Singular Perturbation Solution Of Boltzmann Hierarchy For Two-Particles

In paper [1], authors use a kind of singular perturbation method to find the initiallayer solution and boundary layer solution of Boltzmann equation with small Knudsennumber. In this paper, we discuss the normal solution and initial layer solution ofBoltzmann hierarchy for two-particles. We use the normal solution in [1] to constructthe normal solution of equations that are discussed in this paper. By improving theHilbert-Enskog-Chapman expansion we attained the initial layer solution without secularterms and further to discuss connection between the normal solution and initial layersolution.