WIAS Preprint No. 2134, (2015)

On the evolution of the empirical measure for hard-sphere dynamics


  • Simonella, Sergio
  • Pulvirenti, Mario

2010 Mathematics Subject Classification

  • 82C05 82C05 82C40 35Q20


  • BBGKY hierarchy, hard sphere, empirical measure, marginal, Enskog equation




We prove that the evolution of marginals associated to the empirical measure of a finite system of hard spheres is driven by the BBGKY hierarchical expansion. The usual hierarchy of equations for L^1 measures is obtained as a corollary. We discuss the ambiguities arising in the corresponding notion of microscopic series solution to the Boltzmann-Enskog equation.

Appeared in

  • Bull. Inst. Math. Acad. Sin., 10 (2015) pp. 171--204.

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