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Boltzmann hierarchy and Boltzmann equation. (English) Zbl 0559.76073

Kinetic theories and the Boltzmann equation, Lect. 1st Sess. CIME, Montecatini/Italy 1981, Lect. Notes Math. 1048, 207-220 (1984).
[For the entire collection see Zbl 0536.00019.]
A description is given of the BBGKY hierarchy and its relation to the Boltzmann equation, specifically that solutions of the hierarchy are statistical solutions of the Boltzmann equation. The exposition is made unusually clear by presenting first an ode model. Speculations on the failure of the chaos assumption are made at the end.
Reviewer: R.Caflish

MSC:

76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
82B40 Kinetic theory of gases in equilibrium statistical mechanics

Citations:

Zbl 0536.00019