Derivation of the Hall-MHD equations from the Navier-Stokes-Maxwell equations
Abstract
By using a set of scaling limits, the authors in 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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