{
  "id": "1205.5244",
  "version": "v1",
  "published": "2012-05-23T18:26:49.000Z",
  "updated": "2012-05-23T18:26:49.000Z",
  "title": "DiPerna-Lions flow for relativistic particles in an electromagnetic field",
  "authors": [
    "Pierre-Emmanuel Jabin",
    "Nader Masmoudi"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show the existence and uniqueness of a DiPerna-Lions flow for relativistic particles subject to a Lorentz force in an electromagnetic field. The electric and magnetic fields solves the linear Maxwell system in the void but for singular initial conditions. As the corresponding force field is only in $L^2$, we have to perform a careful analysis of the cancellations over a trajectory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-23T18:26:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "electromagnetic field",
      "diperna-lions flow",
      "relativistic particles subject",
      "linear maxwell system",
      "singular initial conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.5244J"
    }
  }
}