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

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Date
2015
Volume
2134
Issue
Journal
Series Titel
WIAS Preprints
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Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

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 L1 measures is obtained as a corollary. We discuss the ambiguities arising in the corresponding notion of microscopic series solution to the Boltzmann-Enskog equation.

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Citation
Pulvirenti, M., & Simonella, S. (2015). On the evolution of the empirical measure for the hard-sphere dynamics. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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