{
  "id": "1805.04009",
  "version": "v1",
  "published": "2018-05-10T14:54:30.000Z",
  "updated": "2018-05-10T14:54:30.000Z",
  "title": "Confined steady states of a Vlasov-Poisson plasma in a mirror trap",
  "authors": [
    "Patrik Knopf"
  ],
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP",
    "physics.plasm-ph"
  ],
  "abstract": "We consider the two-dimensional Vlasov-Poisson system to model a two-component plasma whose distribution function is constant with respect to the third space dimension. First, we will show how this two-dimensional Vlasov-Poisson system can be derived from the full three-dimensional system. The existence of compactly supported steady states with vanishing electric potential in a three-dimensional setting has already been investigated by A. L. Skubachevskii [15]. We will show that his approach can easily be adapted to the two-dimensional system. However, our main result is to prove the existence of compactly supported steady states even with a nontrivial self-consistent electric potential.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-10T14:54:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q83",
      "82D10"
    ],
    "keywords": [
      "confined steady states",
      "mirror trap",
      "vlasov-poisson plasma",
      "two-dimensional vlasov-poisson system",
      "compactly supported steady states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}