{
  "id": "math/0409310",
  "version": "v1",
  "published": "2004-09-19T19:13:51.000Z",
  "updated": "2004-09-19T19:13:51.000Z",
  "title": "Remarks on a quasi-linear model of the Navier-Stokes Equations",
  "authors": [
    "Fabian Waleffe"
  ],
  "comment": "4 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP",
    "physics.flu-dyn"
  ],
  "abstract": "Dinaburg and Sinai recently proposed a quasi-linear model of the Navier-Stokes equations. Their model assumes that nonlocal interactions in Fourier space are dominant, contrary to the Kolmogorov turbulence phenomenology where local interactions prevail. Their equation corresponds to the linear evolution of small scales on a background field with uniform gradient, but the latter is defined as the linear superposition of all the small scale gradients at the origin. This is not self-consistent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-09-19T19:13:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76D05",
      "35Q35"
    ],
    "keywords": [
      "navier-stokes equations",
      "quasi-linear model",
      "kolmogorov turbulence phenomenology",
      "local interactions prevail",
      "small scale gradients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......9310W"
    }
  }
}