{
  "id": "2106.11399",
  "version": "v1",
  "published": "2021-06-21T20:29:35.000Z",
  "updated": "2021-06-21T20:29:35.000Z",
  "title": "A toy model for the relativistic Vlasov-Maxwell system",
  "authors": [
    "Jonathan Ben-Artzi",
    "Stephen Pankavich",
    "Junyong Zhang"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "The global-in-time existence of classical solutions to the relativistic Vlasov-Maxwell (RVM) system in three space dimensions remains elusive after nearly four decades of mathematical research. In this note, a simplified ``toy model'' is presented and studied. This toy model retains one crucial aspect of the RVM system: the phase-space evolution of the distribution function is governed by a transport equation whose forcing term satisfies a wave equation with finite speed of propagation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-21T20:29:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "relativistic vlasov-maxwell system",
      "toy model retains",
      "wave equation",
      "space dimensions remains elusive",
      "global-in-time existence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}