{
  "id": "1503.07419",
  "version": "v3",
  "published": "2015-03-25T15:19:07.000Z",
  "updated": "2015-04-13T12:11:02.000Z",
  "title": "On Korn's First Inequality for Tangential or Normal Boundary Conditions with Explicit Constants",
  "authors": [
    "Sebastian Bauer",
    "Dirk Pauly"
  ],
  "comment": "Korn inequality, tangential and normal boundary conditions, Boltzmann equation",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We will prove that for piecewise smooth and concave domains Korn's first inequality holds for vector fields satisfying homogeneous normal or tangential boundary conditions with explicit Korn constant square root of 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-25T15:19:07.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-04-13T12:11:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49J40",
      "82C40",
      "76P05"
    ],
    "keywords": [
      "normal boundary conditions",
      "explicit constants",
      "fields satisfying homogeneous normal",
      "concave domains korns first inequality",
      "domains korns first inequality holds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150307419B"
    }
  }
}