The Enskog Process
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.
Publication Source (Journal or Book title)
Journal of Statistical Physics
Albeverio, S., Rüdiger, B., & Sundar, P. (2017). The Enskog Process. Journal of Statistical Physics, 167 (1), 90-122. https://doi.org/10.1007/s10955-017-1743-9