Quasineutral Plasmas and the Geometry of Kinetic Stability
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918527892455424 |
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| author | Iacobelli, Mikaela |
| author_facet | Iacobelli, Mikaela |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_28435 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quasineutral Plasmas and the Geometry of Kinetic Stability Iacobelli, Mikaela Analysis of PDEs 35Q83, 35B25, 35B35, 49Q22, 82D10 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. |
| title | Quasineutral Plasmas and the Geometry of Kinetic Stability |
| topic | Analysis of PDEs 35Q83, 35B25, 35B35, 49Q22, 82D10 |
| url | https://arxiv.org/abs/2605.28435 |