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arXiv · 2605.28435

Quasineutral Plasmas and the Geometry of Kinetic Stability

Mikaela Iacobelli
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Abstract

This article presents an overview of quasineutral limits in plasma models. Starting from the Vlasov-Poisson system, it explains the role of the Debye length, the emergence of a kinetic incompressibility constraint, and the stability issues caused by fast oscillations and singular electric fields. A central theme is that the geometry of the kinetic flow should be reflected in the way perturbations are measured. This leads to kinetic Wasserstein distances adapted to phase-space dynamics, which provide refined stability estimates for quasineutral limits. The article also discusses related models with thermalized electrons and the additional challenges of the electromagnetic Vlasov-Maxwell setting.

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Mikaela Iacobelli. 2026-05-27. Quasineutral Plasmas and the Geometry of Kinetic Stability. https://arxiv.org/abs/2605.28435

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