Discrete velocity Boltzmann eqations in the plane:stationary solutions for a generic class
Mathematical Physics
2021-12-17 v2 math.MP
Abstract
The paper proves existence of renormalized stationary solutions for a dense class of discrete velocity Boltzmann equations in the plane with given ingoing boundary values. The proof is based on the construction of a sequence of approximations with L1 compactness for the integrated collision frequency and gain term. Compactness is obtained using the Kolmogorov-Riesz theorem.
Keywords
Cite
@article{arxiv.2101.11922,
title = {Discrete velocity Boltzmann eqations in the plane:stationary solutions for a generic class},
author = {L. Arkeryd and A. Nouri},
journal= {arXiv preprint arXiv:2101.11922},
year = {2021}
}
Comments
The conditions in the new version are more general. The end of the proof in Section 4 is changed. The appendis is replace with a reference to the paper where those background results are proved