Derivation of Ohm's law from the kinetic equations
Analysis of PDEs
2012-11-13 v1
Abstract
The goal of this article is to give a formal derivation of Ohm's law of Magnetohydrodynamics (MHD) starting from the Vlasov-Maxwell-Boltzmann system. The derivation is based on various physical scalings and the moment methods when the Knudsen number goes to zero. We also give a derivation of the so-called Hall effect as well as other limit models such as the Navier-Stokes-Maxwell system. Our results include both the compressible and incompressible MHD models.
Keywords
Cite
@article{arxiv.1211.2465,
title = {Derivation of Ohm's law from the kinetic equations},
author = {Juhi Jang and Nader Masmoudi},
journal= {arXiv preprint arXiv:1211.2465},
year = {2012}
}
Comments
To appear in SIAM J. MATH. ANAL