{
  "id": "1107.5718",
  "version": "v1",
  "published": "2011-07-28T13:43:18.000Z",
  "updated": "2011-07-28T13:43:18.000Z",
  "title": "Analysis of the Leray-α model with Navier slip boundary condition",
  "authors": [
    "Hani Ali",
    "Petr Kaplický"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper, we establish the existence and the regularity of a unique weak solution to turbulent flows in a bounded domain ${\\Omega}\\subset \\mathbb R^3$ governed by the so-called Leray-{\\alpha} model. We consider the Navier slip boundary conditions for the velocity. Furthermore, we show that, when the filter coefficient {\\alpha} tends to zero, the weak solution constructed converges to a suitable weak solution to the incompressible Navier Stokes equations subject to the Navier boundary condition. Similarly, if {\\lambda} tends to 1- we recover a solution to the Leray-{\\alpha} model with the homogeneous Dirichlet boundary conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-28T13:43:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "35Q35",
      "76B03",
      "76F65"
    ],
    "keywords": [
      "navier slip boundary condition",
      "incompressible navier stokes equations subject",
      "navier boundary condition",
      "unique weak solution",
      "dirichlet boundary conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.5718A"
    }
  }
}