Posted February 3, 201710:30 am - 12:30 pm Lockett 233
Federico Salmoiraghi, Department of Mathematics, LSU
Posted January 31, 2017
Last modified February 15, 2017
Barbara Rüdiger, Bergische Universität Wuppertal - Germany
The Enskog process and its relation to the Boltzmann equation
Abstract: 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 when the density exists. 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. This is a joint work with S. Albeverio and P. Sundar.