{
  "id": "1011.1856",
  "version": "v2",
  "published": "2010-11-08T17:34:59.000Z",
  "updated": "2011-08-05T17:06:55.000Z",
  "title": "Lagrangian Averaged Navier-Stokes equations with rough data in Sobolev space",
  "authors": [
    "Nathan Pennington"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the existence of short time, low regularity solutions to the incompressible, isotropic Lagrangian Averaged Navier-Stokes equations with initial data in Sobolev spaces. In the special case of initial datum in the Sobolev space $H^{3/2,2}(\\mathbb{R}^3)$, we obtain a global solution, improving on previous results, which required data in $H^{3,2}(\\mathbb{R}^3)$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-08-05T17:06:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "sobolev space",
      "rough data",
      "isotropic lagrangian averaged navier-stokes equations",
      "initial datum",
      "low regularity solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.1856P"
    }
  }
}