Note on the summational invariant and corresponding local Maxwellian for the Enskog equation
Mathematical Physics
2023-12-07 v1 math.MP
Fluid Dynamics
Abstract
The summational invariant and the corresponding local Maxwellian that are compatible with the Enskog equation are discussed, with special interest in the presence of a boundary. The local Maxwellian corresponding to the summational invariant is restrictive compared to the case of the Boltzmann equation in the sense that a radial flow and time-dependent temperature are forbidden. However, a rigid body rotation with a constant angular velocity is admitted as in the case of the Boltzmann equation. The influence of the presence of a boundary is also discussed in simple situations.
Cite
@article{arxiv.2312.03183,
title = {Note on the summational invariant and corresponding local Maxwellian for the Enskog equation},
author = {Shigeru Takata and Aoto Takahashi},
journal= {arXiv preprint arXiv:2312.03183},
year = {2023}
}
Comments
16 pages, 1 figure