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