{
  "id": "1210.1664",
  "version": "v3",
  "published": "2012-10-05T07:32:21.000Z",
  "updated": "2014-01-20T20:00:33.000Z",
  "title": "On the blow up and condensation of supercritical solution of the Nordheim equation for bosons",
  "authors": [
    "M. Escobedo",
    "J. J. L. Velázquez"
  ],
  "comment": "30 pages Corrected typos. Version accepted for publication",
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation for bosons, with bounded initial, data blow up in finite time in the $L^\\infty$ norm if the values of the energy and particle density are in the range of values where the corresponding equilibria contains a Dirac mass. We also prove that, in the weak solutions, whose initial data are measures with values of particle and energy densities satisfying the previous condition, a Dirac measure at the origin forms in finite time.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-01-20T20:00:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q20"
    ],
    "keywords": [
      "supercritical solution",
      "finite time",
      "condensation",
      "dirac measure",
      "spatially homogeneous nordheim equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.1664E"
    }
  }
}