WIAS Preprint No. 2134, (2015)
On the evolution of the empirical measure for hard-sphere dynamics
Authors
- Simonella, Sergio
- Pulvirenti, Mario
2010 Mathematics Subject Classification
- 82C05 82C05 82C40 35Q20
Keywords
- BBGKY hierarchy, hard sphere, empirical measure, marginal, Enskog equation
DOI
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.
Appeared in
- Bull. Inst. Math. Acad. Sin., 10 (2015) pp. 171--204.
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