Derivation of Ohm's law from the kinetic equations
  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. 
Juhi Jang and Nader Masmoudi
math.AP