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arXiv · 2106.08645

Derivation of the Hall-MHD equations from the Navier-Stokes-Maxwell equations

Yi Peng·Huaqiao Wang·Qiuju Xu
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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.

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Yi Peng, Huaqiao Wang, Qiuju Xu. 2021-06-16. Derivation of the Hall-MHD equations from the Navier-Stokes-Maxwell equations. https://doi.org/10.1007/s00332-022-09850-5

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