Venue: Seminar Room “-1” – Department of Mathematics - Via Sommarive 14 - Povo -Trento
at 11:00 a.m.

  • Barbara Rüdiger-Mastandrea (Bergische Universität Wuppertal)

Abstract: 

(Joint article with S. Albeverio, P. Sundar, appeared on Journal Stat. Physics, January 2017 (No1))

The existence of a weak solution to a McKean-Vlasov type stochastic differential system corresponding to the Enskog equation of the kinetic theory of gases  is established under suitable hypotheses. The distribution of  any solution to the system at each fixed time is shown to be unique. The existence of a probability density for the time-marginals of  the velocity is verified  in the case where the initial condition is  Gaussian, and is shown to be the density of an invariant measure.

 

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