BGK model for multi-component gases near a global Maxwellian
Analysis of PDEs
2022-01-06 v1
Abstract
In this paper, we establish the existence of the unique global-in-time classical solutions to the multi-component BGK model suggested in \cite{mixmodel} when the initial data is a small perturbation of global equilibrium. For this, we carefully analyze the dissipative nature of the linearized multi-component relaxation operator, and observe that the partial dissipation from the intra-species and the inter-species linearized relaxation operators are combined in a complementary manner to give rise to the desired dissipation estimate of the model We also observe that the convergence rate of the distribution function increases as the momentum-energy interchange rate between the different components of the gas increases.
Cite
@article{arxiv.2201.01611,
title = {BGK model for multi-component gases near a global Maxwellian},
author = {Gi-Chan Bae and Christian Klingenberg and Marlies Pirner and Seok-Bae Yun},
journal= {arXiv preprint arXiv:2201.01611},
year = {2022}
}