{
  "id": "math-ph/0503042",
  "version": "v1",
  "published": "2005-03-16T13:53:19.000Z",
  "updated": "2005-03-16T13:53:19.000Z",
  "title": "CKN theory of singularities of weak solutions of the Navier-Stokes equations",
  "authors": [
    "Giovanni Gallavotti"
  ],
  "comment": "38 pages, Lectures",
  "journal": "Lecture notes in Physics, 1871, p. 45--100,2006, Springer, (ed. M.Cannone,T. Miyakawa)",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The lectures are devoted to a complete exposition of the theory of singularities of the Navier Stokes equations solution studied by Leray, in a simple geometrical setting in which the fluid is enclosed in a container $\\O$ with periodic boundary conditions and side size $L$. The theory is due to the work of Scheffer, Caffarelli, Kohn, Nirenberg and is called here CKN-theory as it is inspired by the work of the last three authors which considerably improved the earlier estimates of Scheffer.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-16T13:53:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76D03",
      "76D05"
    ],
    "keywords": [
      "weak solutions",
      "navier-stokes equations",
      "ckn theory",
      "singularities",
      "navier stokes equations solution"
    ],
    "tags": [
      "journal article",
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.ph...3042G"
    }
  }
}