{
  "id": "0912.1353",
  "version": "v1",
  "published": "2009-12-07T21:33:32.000Z",
  "updated": "2009-12-07T21:33:32.000Z",
  "title": "Global well-posedness for the Navier-Stokes-Boussinesq system with axisymmetric data",
  "authors": [
    "Taoufik Hmidi",
    "Frederic Rousset"
  ],
  "comment": "22 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we prove the global well-posedness for a three-dimensional Boussinesq system with axisymmetric initial data. This system couples the Navier-Stokes equation with a transport-diffusion equation governing the temperature. Our result holds uniformly with respect to the heat conductivity coefficient $\\kappa \\geq 0$ which may vanish.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-07T21:33:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global well-posedness",
      "axisymmetric data",
      "navier-stokes-boussinesq system",
      "heat conductivity coefficient",
      "three-dimensional boussinesq system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010AnIHP..27.1227H"
    }
  }
}