The Maxwell-Boltzmann approximation for ion kinetic modeling

2016/06/17 by Bardos, Claude, Golse, François, Nguyen, Toan T. +1 · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1606.05586

Abstract

This paper aims to justify the Maxwell-Boltzmann approximation for electrons, preserving the dynamics of ions at the kinetic level. Under sufficient regularity assumption, we provide a precise scaling where the Maxwell-Boltzmann approximation is obtained. In addition, we prove that the reduced ions problem is well-posed globally in time.

Cited by

• Hydrodynamic limit from kinetic models with massless electrons to the ionic Euler--Poisson system
• Ionic KdV structure in weakly collisional plasmas

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