Document Type
Article
Publication Date
6-1-2019
Abstract
The density of a moderately dense gas evolving in a vacuum is given by the solution of an Enskog equation. Recently we have constructed in Albeverio et al. (J Stat Phys 167:90–122, 2017) the stochastic process that corresponds to the Enskog equation under suitable conditions. The Enskog process is identified as the solution of a McKean–Vlasov equation driven by a Poisson random measure. In this work, we continue the study for a wider class of collision kernels that includes hard and soft potentials. Based on a suitable particle approximation of binary collisions, the existence of an Enskog process is established.
Publication Source (Journal or Book title)
Nonlinear Differential Equations and Applications
Recommended Citation
Friesen, M., Rüdiger, B., & Sundar, P. (2019). The Enskog process for hard and soft potentials. Nonlinear Differential Equations and Applications, 26 (3) https://doi.org/10.1007/s00030-019-0566-6