{
  "id": "1209.3393",
  "version": "v1",
  "published": "2012-09-15T11:49:36.000Z",
  "updated": "2012-09-15T11:49:36.000Z",
  "title": "A regularity criterion for the weak solutions to the Navier-Stokes-Fourier system",
  "authors": [
    "Eduard Feireisl",
    "Antonin Novotny",
    "Yongzhong Sun"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We show that any weak solution to the full Navier-Stokes-Fourier system emanating from the data belonging to the Sobolev space W^{3,2} remains regular as long as the velocity gradient is bounded. The proof is based on the weak-strong uniqueness property and parabolic a priori estimates for the local strong solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-15T11:49:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weak solution",
      "regularity criterion",
      "local strong solutions",
      "weak-strong uniqueness property",
      "full navier-stokes-fourier system emanating"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00205-013-0697-6",
      "journal": "Archive for Rational Mechanics and Analysis",
      "year": 2014,
      "month": "Apr",
      "volume": 212,
      "number": 1,
      "pages": 219
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014ArRMA.212..219F"
    }
  }
}