{
  "id": "2108.11209",
  "version": "v1",
  "published": "2021-08-25T12:52:07.000Z",
  "updated": "2021-08-25T12:52:07.000Z",
  "title": "Global well-posedness of Vlasov-Poisson-type systems in bounded domains",
  "authors": [
    "Ludovic Cesbron",
    "Mikaela Iacobelli"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we prove global existence of classical solutions to the Vlasov-Poisson and the ionic Vlasov-Poisson models in bounded domains. On the boundary, we consider the specular reflection boundary condition for the Vlasov equation and either homogeneous Dirichlet or Neumann conditions for the Poisson equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-25T12:52:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bounded domains",
      "global well-posedness",
      "vlasov-poisson-type systems",
      "specular reflection boundary condition",
      "ionic vlasov-poisson models"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}