{
  "id": "1306.3761",
  "version": "v1",
  "published": "2013-06-17T07:55:49.000Z",
  "updated": "2013-06-17T07:55:49.000Z",
  "title": "Permeability through a perforated domain for the incompressible 2D Euler equations",
  "authors": [
    "Virginie Bonnaillie-Noël",
    "Christophe Lacave",
    "Nader Masmoudi"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We investigate the influence of a perforated domain on the 2D Euler equations. Small inclusions of size $\\varepsilon$ are uniformly distributed on the unit segment or a rectangle, and the fluid fills the exterior. These inclusions are at least separated by a distance $\\varepsilon^\\alpha$ and we prove that for $\\alpha$ small enough (namely, less than 2 in the case of the segment, and less than 1 in the case of the square), the limit behavior of the ideal fluid does not feel the effect of the perforated domain at leading order when $\\varepsilon\\to 0$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-17T07:55:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "incompressible 2d euler equations",
      "perforated domain",
      "permeability",
      "unit segment",
      "small inclusions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.3761B"
    }
  }
}