{
  "id": "1811.03693",
  "version": "v1",
  "published": "2018-11-08T22:09:11.000Z",
  "updated": "2018-11-08T22:09:11.000Z",
  "title": "Singular Limits for Plasmas with Thermalised Electrons",
  "authors": [
    "Megan Griffin-Pickering",
    "Mikaela Iacobelli"
  ],
  "comment": "51 pages",
  "categories": [
    "math.AP"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-08T22:09:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "singular limits",
      "thermalised electrons",
      "vpme system",
      "kinetic isothermal euler",
      "mean field derivation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 51,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}