{
  "id": "1409.7716",
  "version": "v1",
  "published": "2014-09-26T20:35:54.000Z",
  "updated": "2014-09-26T20:35:54.000Z",
  "title": "Observations on the vanishing viscosity limit",
  "authors": [
    "James P. Kelliher"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Whether, in the presence of a boundary, solutions of the Navier-Stokes equations converge to a solution to the Euler equations in the vanishing viscosity limit is unknown. In a seminal 1983 paper, Tosio Kato showed that the vanishing viscosity limit is equivalent to having sufficient control of the gradient of the Navier-Stokes velocity in a boundary layer of width proportional to the viscosity. In a 2008 paper, the present author showed that the vanishing viscosity limit is equivalent to the formation of a vortex sheet on the boundary. We present here several observations that follow on from these two papers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-26T20:35:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76D05",
      "76B99",
      "76D10"
    ],
    "keywords": [
      "vanishing viscosity limit",
      "observations",
      "navier-stokes equations converge",
      "euler equations",
      "vortex sheet"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.7716K"
    }
  }
}