Asymptotic Continuum Models for Plasmas and Disparate Mass Gaseous Binary Mixtures

We review the derivation of macroscopic models for plasmas and disparate mass binary mixtures from a large-scale limit of the underlying kinetic (Fokker–PlanckorBoltzmann) equations. The Knudsen number (ratio of the collision mean free-path to the size of the system) is supposed to be of the same order of magnitude as the square root of the mass ratio between the particles. The so-obtained macroscopic model consists of a system of two diffusion equations for the electron (or light species) density and energy (often referred to as the energy-transport model), coupled with the gas dynamics Euler system for the ions (or heavy species). This mathematical properties of this system are reviewed and its applicability to various physical contexts is outlined.

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