The Enskog process for hard and soft potentials
Mathematical Physics
2022-03-17 v2 math.MP
Probability
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 [ARS17] 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.
Cite
@article{arxiv.1805.10141,
title = {The Enskog process for hard and soft potentials},
author = {Martin Friesen and Barbara Rüdiger and Padmanabhan Sundar},
journal= {arXiv preprint arXiv:1805.10141},
year = {2022}
}