{
  "id": "1406.0165",
  "version": "v1",
  "published": "2014-06-01T14:13:29.000Z",
  "updated": "2014-06-01T14:13:29.000Z",
  "title": "A new continuation criterion for the relativistic Vlasov-Maxwell system",
  "authors": [
    "Jonathan Luk",
    "Robert M. Strain"
  ],
  "comment": "21 pages, to appear in Commun. Math. Phys",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The global existence of solutions to the relativistic Vlasov-Maxwell system given sufficiently regular finite energy initial data is a longstanding open problem. The main result of Glassey-Strauss (1986) shows that a solution $(f, E, B)$ remains $C^1$ as long as the momentum support of $f$ remains bounded. Alternate proofs were later given by Bouchut-Golse-Pallard (2003) and Klainerman-Staffilani (2002). We show that only the boundedness of the momentum support of $f$ after projecting to any two dimensional plane is needed for $(f, E, B)$ to remain $C^1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-01T14:13:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "relativistic vlasov-maxwell system",
      "continuation criterion",
      "regular finite energy initial data",
      "sufficiently regular finite energy initial",
      "momentum support"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-014-2108-8",
      "journal": "Communications in Mathematical Physics",
      "year": 2014,
      "month": "Nov",
      "volume": 331,
      "number": 3,
      "pages": 1005
    },
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014CMaPh.331.1005L"
    }
  }
}