2015 / June Volume 10 No.2
On the Evolution of the Empirical Measure for the Hard-Sphere Dynamics
| Published Date |
2015 / June
|
|---|---|
| Title | On the Evolution of the Empirical Measure for the Hard-Sphere Dynamics |
| Author | |
| Keyword | |
| Download | |
| Pagination | 171-204 |
| 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.
|
| AMS Subject Classification |
82C05, 82C22, 82C40, 35Q20.
|
| Received |
2015-05-13
|
| Accepted |
2015-05-04
|