{
  "id": "1906.07478",
  "version": "v1",
  "published": "2019-06-18T10:15:44.000Z",
  "updated": "2019-06-18T10:15:44.000Z",
  "title": "Refined blow up criteria for the full compressible Navier-Stokes equations involving temperature",
  "authors": [
    "Quansen Jiu",
    "Yanqing Wang",
    "Yulin Ye"
  ],
  "comment": "21 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, inspired by the study of the energy flux in local energy inequality of the 3D incompressible Navier-Stokes equations, we improve almost all the blow up criteria involving temperature to allow the temperature in its scaling invariant space for the 3D full compressible Navier-Stokes equations. Enlightening regular criteria via pressure $\\Pi=\\frac{\\text {divdiv}}{-\\Delta}(u_{i}u_{j})$ of the 3D incompressible Navier-Stokes equations on bounded domain, we generalize Beirao da Veiga's result in [1] from the incompressible Navier-Stokes equations to the isentropic compressible Navier-Stokes system in the case away from vacuum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-18T10:15:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "3d incompressible navier-stokes equations",
      "refined blow",
      "temperature",
      "generalize beirao da veigas result",
      "3d full compressible navier-stokes equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}