Derivation of the Hall-MHD equations from the Navier-Stokes-Maxwell equations
Analysis of PDEs
2022-10-19 v1
Abstract
By using a set of scaling limits, the authors in \cite{ADFL,SS} proposed a framework of deriving the Hall-MHD equations from the two-fluids Euler-Maxwell equations for electrons and ions. In this paper, we derive the Hall-MHD equations from the Navier-Stokes-Maxwell equations with generalized Ohm's law in a mathematically rigorous way via the spectral analysis and energy methods.
Keywords
Cite
@article{arxiv.2106.08645,
title = {Derivation of the Hall-MHD equations from the Navier-Stokes-Maxwell equations},
author = {Yi Peng and Huaqiao Wang and Qiuju Xu},
journal= {arXiv preprint arXiv:2106.08645},
year = {2022}
}