{
  "id": "1203.2699",
  "version": "v3",
  "published": "2012-03-13T02:29:56.000Z",
  "updated": "2012-03-16T04:04:16.000Z",
  "title": "Global Mild Solutions of the Navier-Stokes Equations",
  "authors": [
    "Zhen Lei",
    "Fang-hua Lin"
  ],
  "journal": "Communications on Pure and Applied Mathematics, 64 (2011), no. 9, 1297-1304",
  "categories": [
    "math.AP"
  ],
  "abstract": "Here we establish a global well-posedness of \\textit{mild} solutions to the three-dimensional incompressible Navier-Stokes equations if the initial data are in the space $\\mathcal{X}^{-1}$ defined by $(1.3)$ and if the norms of the initial data in $\\mathcal{X}^{-1}$ are bounded exactly by the viscosity coefficient $\\mu$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-03-16T04:04:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global mild solutions",
      "initial data",
      "three-dimensional incompressible navier-stokes equations",
      "global well-posedness",
      "viscosity coefficient"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.2699L"
    }
  }
}