Journal of Statistical Physics

, Volume 59, Issue 3, pp 845–867

Global existence in L1 for the Enskog equation and convergence of the solutions to solutions of the Boltzmann equation

  • Leif Arkeryd
  • Carlo Cercignani

DOI: 10.1007/BF01025854

Cite this article as:
Arkeryd, L. & Cercignani, C. J Stat Phys (1990) 59: 845. doi:10.1007/BF01025854


For the Enskog equation in a box an existence theorem is proved for initial data with finite mass, energy, and entropy. Then, by letting the diameter of the molecules go to zero, the weak convergence of solutions of the Enskog equation to solutions of the Boltzmann equation is proved.

Key words

Boltzmann equation Enskog equation kinetic theory 

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • Leif Arkeryd
    • 1
  • Carlo Cercignani
    • 2
  1. 1.Department of Mathematics, Chalmers Institute of TechnologyUniversity of GöteborgGöteborgSweden
  2. 2.Department of MathematicsPolitecnico di MilanoMilanItaly

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