{
  "id": "1107.1474",
  "version": "v1",
  "published": "2011-07-07T18:25:27.000Z",
  "updated": "2011-07-07T18:25:27.000Z",
  "title": "Large Eddy Simulation for Turbulent Flows with Critical Regularization",
  "authors": [
    "Hani Ali"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we establish the existence of a unique \"regular\" weak solution to the Large Eddy Simulation (LES) models of turbulence with critical regularization. We first consider the critical LES for the Navier-Stokes equations and we show that its solution converges to a solution of the Navier-Stokes equations as the averaging radii converge to zero. Then we extend the study to the critical LES for Magnetohydrodynamics equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-07T18:25:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "35Q35",
      "76F60"
    ],
    "keywords": [
      "large eddy simulation",
      "critical regularization",
      "turbulent flows",
      "navier-stokes equations",
      "solution converges"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.1474A"
    }
  }
}