On the non-Markovian Enskog equation for granular gases

作者：Borovchenkova M S^*; Gerasimenko V I

来源：Journal of Physics A-Mathematical and Theoretical, 2014, 47(3): 035001.

DOI：10.1088/1751-8113/47/3/035001

• granular gas
• inelastic collision
• dual BBGKY hierarchy
• Enskog equation
• kinetic evolution

We develop a rigorous formalism for the description of the kinetic evolution of many-particle systems with dissipative interaction. The links of the evolution of a hard sphere system with inelastic collisions described within the framework of marginal observables governed by the dual Bogolyubov-Born-Green-Kirkwood- Yvon (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.

• 出版日期2014-1-24