Boltzmann-type equation in anelastic case: a convergence result

Abstract

In this paper a convergence result for the BBGKY hierarchy to a Boltzmann-like equation, in the case of anelastic collision, is shown. Boltzmann-like equations are often used to model dissipative dynamical systems such as granular media. This convergence result aims to make a contribution towards a mathematical foundation to these applications.Boltzmann equation, BBGKY, Microscopical models, Granular Media