Singular Limits for Plasmas with Thermalised Electrons

2018/11/08 by Griffin-Pickering, Megan, Iacobelli, Mikaela · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1811.03693

Abstract

This work is concerned with the study of singular limits for the Vlasov-Poisson system in the case of massless electrons (VPME), which is a kinetic system modelling the ions in a plasma. Our objective is threefold: first, we provide a mean field derivation of the VPME system in dimensions d=2,3 from a system of N extended charges. Secondly, we prove a rigorous quasineutral limit for initial data that are perturbations of analytic data, deriving the Kinetic Isothermal Euler (KIE) system from the VPME system in dimensions d=2,3. Lastly, we combine these two singular limits in order to show how to obtain the KIE system from an underlying particle system.

Cited by

• Hydrodynamic limit from kinetic models with massless electrons to the ionic Euler--Poisson system

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