{
  "id": "1001.1247",
  "version": "v1",
  "published": "2010-01-08T11:52:09.000Z",
  "updated": "2010-01-08T11:52:09.000Z",
  "title": "A Beale-Kato-Majda Blow-up criterion for the 3-D compressible Navier-Stokes equations",
  "authors": [
    "Yongzhong Sun",
    "Chao Wang",
    "Zhifei Zhang"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove a blow-up criterion in terms of the upper bound of the density for the strong solution to the 3-D compressible Navier-Stokes equations. The initial vacuum is allowed. The main ingredient of the proof is \\textit{a priori} estimate for an important quantity under the assumption that the density is upper bounded, whose divergence can be viewed as the effective viscous flux.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-08T11:52:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30"
    ],
    "keywords": [
      "compressible navier-stokes equations",
      "beale-kato-majda blow-up criterion",
      "upper bound",
      "strong solution",
      "main ingredient"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.1247S"
    }
  }
}