{
  "id": "0804.1549",
  "version": "v2",
  "published": "2008-04-09T20:02:00.000Z",
  "updated": "2008-11-26T16:07:49.000Z",
  "title": "Blow up of smooth highly decreasing at infinity solutions to the compressible Navier-Stokes equations",
  "authors": [
    "Olga Rozanova"
  ],
  "comment": "14 pages, submitted",
  "journal": "Journal of Differential Equations Volume 245, Issue 7, 1 October 2008, Pages 1762-1774",
  "doi": "10.1016/j.jde.2008.07.007",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove that the smooth solutions to the Cauchy problem for the Navier-Stokes equations with conserved mass, total energy and finite momentum of inertia loses the initial smoothness within a finite time in the case of space of dimension 3 or greater even if the initial data are not compactly supported.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-11-26T16:07:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53Q30"
    ],
    "keywords": [
      "compressible navier-stokes equations",
      "smooth highly decreasing",
      "infinity solutions",
      "smooth solutions",
      "cauchy problem"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Differential Equations",
      "year": 2008,
      "volume": 245,
      "number": 7,
      "pages": 1762
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008JDE...245.1762R"
    }
  }
}