On the Evolution of the Empirical Measure for the Hard-Sphere Dynamics
by Mario Pulvirenti   S. Simonella  

Vol. 10 No. 2 (2015) P.171~P.204

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 $L^{1}$ measures is obtained as a corollary. We discuss the ambiguities arising in the corresponding notion of microscopic series solution to the Boltzmann-Enskog equation.

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

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 82C05, 82C22, 82C40, 35Q20.

MILESTONES

Received: 2015-04-13
Revised : 2015-05-13
Accepted: 2015-05-04

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