{
  "id": "0712.0875",
  "version": "v1",
  "published": "2007-12-06T05:13:57.000Z",
  "updated": "2007-12-06T05:13:57.000Z",
  "title": "Boundary layers and the vanishing viscosity limit for incompressible 2D flow",
  "authors": [
    "Milton C. Lopes Filho"
  ],
  "comment": "28 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "This manuscript is a survey on results related to boundary layers and the vanishing viscosity limit for incompressible flow. It is the lecture notes for a 10 hour minicourse given at the Morningside Center, Academia Sinica, Beijing, PRC from 11/28 to 12/07, 2007. The main topics covered are: a derivation of Prandtl's boundary layer equation; an outline of the rigorous theory of Prandtl's equation, without proofs; Kato's criterion for the vanishing viscosity limit; the vanishing viscosity limit with Navier friction condition; rigorous boundary layer theory for the Navier friction condition and boundary layers for flows in a rotating cylinder.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-06T05:13:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76D10",
      "35Q30"
    ],
    "keywords": [
      "vanishing viscosity limit",
      "incompressible 2d flow",
      "navier friction condition",
      "prandtls boundary layer equation",
      "rigorous boundary layer theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.0875L"
    }
  }
}