{
  "id": "math/0703883",
  "version": "v1",
  "published": "2007-03-29T14:27:03.000Z",
  "updated": "2007-03-29T14:27:03.000Z",
  "title": "Blow-up criterion of strong solutions to the Navier-Stokes equations in Besov spaces with negative indices",
  "authors": [
    "Baoquan Yuan",
    "BoZhang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "A H\\\"older type inequality in Besov spaces is established and applied to show that every strong solution $u(t,x)$ on (0,T) of the Navier-Stokes equations can be continued beyond $t>T$ provided that the vorticity $\\omega(t,x)\\in L^{\\frac 2{2-\\alpha}}(0,T;\\dot{B}^{-\\alpha}_{\\infty,\\infty}(\\mr^3))\\cap L^{\\frac2{1-\\alpha}}(0,T;\\dot{B}^{-1-\\alpha}_{\\infty,\\infty}(\\mr^3))$ for $0<\\alpha<1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-03-29T14:27:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30"
    ],
    "keywords": [
      "besov spaces",
      "strong solution",
      "navier-stokes equations",
      "blow-up criterion"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.jde.2007.07.009",
      "journal": "Journal of Differential Equations",
      "year": 2007,
      "volume": 242,
      "number": 1,
      "pages": 1
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007JDE...242....1Y"
    }
  }
}