Singular Limits for Plasmas with Thermalised Electrons

Megan Griffin-Pickering; Mikaela Iacobelli

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arXiv · 1811.03693

Singular Limits for Plasmas with Thermalised Electrons

Megan Griffin-Pickering·Mikaela Iacobelli

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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.

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Megan Griffin-Pickering, Mikaela Iacobelli. 2018-11-08. Singular Limits for Plasmas with Thermalised Electrons. https://arxiv.org/abs/1811.03693

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