{
  "id": "1111.1356",
  "version": "v2",
  "published": "2011-11-05T21:55:43.000Z",
  "updated": "2013-01-04T13:10:46.000Z",
  "title": "Self-improving bounds for the Navier-Stokes equations",
  "authors": [
    "Jean-Yves Chemin",
    "Fabrice Planchon"
  ],
  "comment": "11 pages, updated references, to appear in Bull. Soc. Math. France",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider regular solutions to the Navier-Stokes equation and provide an extension to the Escauriaza-Seregin-Sverak blow-up criterion in the negative regularity Besov scale, with regularity arbitrarly close to -1. Our results rely on turning a priori bounds for the solution in negative Besov spaces into bounds in the positive regularity scale.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-01-04T13:10:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "35B44",
      "76D03"
    ],
    "keywords": [
      "navier-stokes equation",
      "self-improving bounds",
      "escauriaza-seregin-sverak blow-up criterion",
      "negative regularity besov scale",
      "regular solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.1356C"
    }
  }
}