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