{
  "id": "math-ph/0503038",
  "version": "v2",
  "published": "2005-03-15T14:34:34.000Z",
  "updated": "2005-06-01T16:40:19.000Z",
  "title": "On a characteristic initial value problem in Plasma physics",
  "authors": [
    "Simone Calogero"
  ],
  "comment": "16 pages. Version in press",
  "journal": "Ann. Henri Poincar\\'e 7, 233--252 (2006)",
  "doi": "10.1007/s00023-005-0248-2",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The relativistic Vlasov-Maxwell system of plasma physics is considered with initial data on a past light cone. This characteristic initial value problem arises in a natural way as a mathematical framework to study the existence of solutions isolated from incoming radiation. Various consequences of the mass-energy conservation and of the absence of incoming radiation condition are first derived assuming the existence of global smooth solutions. In the spherically symmetric case, the existence of a unique classical solution in the future of the initial cone follows by arguments similar to the case of initial data at time $t=0$. The total mass-energy of spherically symmetric solutions equals the (properly defined) mass-energy on backward and forward light cones.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-06-01T16:40:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q75",
      "35A05"
    ],
    "keywords": [
      "plasma physics",
      "characteristic initial value problem arises",
      "initial data",
      "mass-energy",
      "spherically symmetric solutions equals"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}