{
  "id": "1205.5563",
  "version": "v3",
  "published": "2012-05-24T20:38:01.000Z",
  "updated": "2013-04-30T21:43:43.000Z",
  "title": "On the convergence of statistical solutions of the 3D Navier-Stokes-$α$ model as $α$ vanishes",
  "authors": [
    "Anne C. Bronzi",
    "Ricardo M. S. Rosa"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper statistical solutions of the 3D Navier-Stokes-$\\alpha$ model with periodic boundary condition are considered. It is proved that under certain natural conditions statistical solutions of the 3D Navier-Stokes-$\\alpha$ model converge to statistical solutions of the exact 3D Navier-Stokes equations as $\\alpha$ goes to zero. The statistical solutions considered here arise as families of time-projections of measures in suitable trajectory spaces.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-04-30T21:43:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "convergence",
      "exact 3d navier-stokes equations",
      "natural conditions statistical solutions",
      "periodic boundary condition",
      "paper statistical solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.5563B"
    }
  }
}