On the non-Markovian Enskog Equation for Granular Gases

Abstract

We develop a rigorous formalism for the description of the kinetic evolution of many-particle systems with the dissipative interaction. The relationships of the evolution of a hard sphere system with inelastic collisions described within the framework of marginal observables governed by the dual BBGKY hierarchy and the evolution of states described by the Cauchy problem of the Enskog kinetic equation for granular gases are established. Moreover, we consider the Boltzmann--Grad asymptotic behavior of the constructed non-Markovian Enskog kinetic equation for granular gases in a one-dimensional space.

21 pages

References in corpus (2)

• The Inelastic Maxwell Model
• On Microscopic Origin of the Fokker - Planck Kinetic Evolution of Hard Spheres

Cited by in corpus (6)

• The Boltzmann-Grad asymptotic behavior of collisional dynamics: a brief survey
• On Semigroups of Large Particle Systems and their Scaling Asymptotic Behavior
• Approaches to Derivation of the Boltzmann Equation with Hard Sphere Collisions
• Advances in theory of evolution equations of many colliding particles
• Non-perturbative solutions of hierarchies of evolution equations for colliding particles
• Microscopic and soliton-like solutions of the Boltzmann-Enskog and generalized Enskog equations for elastic and inelastic hard spheres