Journal of Statistical Physics

, Volume 63, Issue 1–2, pp 345–361 | Cite as

The homogeneous Boltzmann hierarchy and statistical solutions to the homogeneous Boltzmann equation

  • L. Arkeryd
  • S. Caprino
  • N. Ianiro
Articles

Abstract

An existence and uniqueness result for the homogeneous Boltzmann hierarchy is proven, by exploiting the “statistical solutions” to the homogeneous Boltzmann equation.

Key words

Boltzmann hierarchy Boltzmann equation statistical solution 

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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • L. Arkeryd
    • 1
  • S. Caprino
    • 2
    • 3
  • N. Ianiro
    • 4
  1. 1.Department of MathematicsChalmers University of Technology and UniversityGöteborgSweden
  2. 2.Dipartimento di Matematica Pura e Applicata dell'Università di L'Aquila, CoppitoL'AquilaItaly
  3. 3.Dipartimento di Matematica dell'Università di Roma “La Sapienza,”RomeItaly
  4. 4.Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate dell'Università di Roma “La Sapienza,”RomeItaly

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