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.
On the evolution of the empirical measure for the hard-sphere dynamics / Pulvirenti, Mario; Simonella, Sergio. - In: BULLETIN OF INSTITUTE OF MATHEMATICS, ACADEMIA SINICA. NEW SERIES. - ISSN 2304-7909. - 10:2(2015), pp. 171-204.
On the evolution of the empirical measure for the hard-sphere dynamics
PULVIRENTI, Mario;SIMONELLA, SERGIO
2015
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.File allegati a questo prodotto
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