Document Type
Article
Publication Date
9-1-2025
Abstract
The time evolution of a moderately dense gas evolving in vacuum described by the Boltzmann-Enskog equation is studied. The associated stochastic process, the Boltzmann-Enskog process, was constructed in [1] and further studied in [12, 13]. The process is given by the solution of a McKean-Vlasov equation driven by a Poisson random measure with the compensator depending on the distribution of the solution [1, 12]. The existence of a marginal probability density function at each time for the measure-valued solution is established in this article by using a functional-analytic criterion on Besov spaces [8, 11]. In addition to existence, the density is shown to reside in a Besov space. The support of the velocity marginal distribution is shown to be the whole of R3.
Publication Source (Journal or Book title)
Nonlinear Differential Equations and Applications
Recommended Citation
Ennis, C., Rüdiger, B., & Sundar, P. (2025). Density-valued solutions for the Boltzmann-Enskog process. Nonlinear Differential Equations and Applications, 32 (5) https://doi.org/10.1007/s00030-025-01106-x