The Maxwell-Boltzmann approximation for ion kinetic modeling
Analysis of PDEs
2016-08-30 v2 Mathematical Physics
math.MP
Abstract
This paper aims to justify the Maxwell-Boltzmann approximation for electrons, preserving the dynamics of ions at the kinetic level. Under sufficient regularity assumption, we provide a precise scaling where the Maxwell-Boltzmann approximation is obtained. In addition, we prove that the reduced ions problem is well-posed globally in time.
Cite
@article{arxiv.1606.05586,
title = {The Maxwell-Boltzmann approximation for ion kinetic modeling},
author = {Claude Bardos and François Golse and Toan T. Nguyen and Rémi Sentis},
journal= {arXiv preprint arXiv:1606.05586},
year = {2016}
}