Abstract
This paper reviews several different models of weakly ionized plasma flows, where charged particles are scattered in a background flow of neutral particles. A multispecies diffusion model is derived from either a kinetic model or a multifluid model (which is the Maxwellian closure of the kinetic model). This derivation is purely formal (in the sense that only the Hilbert or Chapman–Enskog expansions are established). An even simpler model, the so-called ambipolar diffusion model is derived from the multispecies diffusion model. This latter derivation is based on energy estimates and on a form of maximum principle which is established by writing the multispecies diffusion system in terms of the so-called Slotboom variables.
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