{
  "id": "1711.02286",
  "version": "v1",
  "published": "2017-11-07T05:04:07.000Z",
  "updated": "2017-11-07T05:04:07.000Z",
  "title": "Global Solution for the incompressible Navier-Stokes equations] { Global Solution for the incompressible Navier-Stokes equations with a class of large data in $BMO^{-1}(\\mathbb{R}^3)$",
  "authors": [
    "Du Yi",
    "Zhou Yi"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we shall establish the global well-posedness, the space-time analyticity of the Navier-Stokes equations for a class of large periodic data $u_0 \\in BMO^{-1}(\\mathbb{R}^3)$. This improves the classical result of Koch \\& Tataru \\cite{koch-tataru}, for the global well-posedness with small initial data $u_0 \\in BMO^{-1}(\\mathbb{R}^n)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-07T05:04:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K55"
    ],
    "keywords": [
      "incompressible navier-stokes equations",
      "global solution",
      "large data",
      "global well-posedness",
      "small initial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}