{
  "id": "math/0103053",
  "version": "v1",
  "published": "2001-03-07T23:53:59.000Z",
  "updated": "2001-03-07T23:53:59.000Z",
  "title": "Trapping regions and an ODE-type proof of the existence and uniqueness theorem for Navier-Stokes equations with periodic boundary conditions on the plane",
  "authors": [
    "Piotr Zgliczynski"
  ],
  "comment": "22 pages",
  "categories": [
    "math.AP",
    "math.DS"
  ],
  "abstract": "Using ODE-methods and trapping regions derived by Mattingly and Sinai we give a new proof of the existence and uniqueness of solutions to Navier-Stokes equations with periodic boundary conditions on the plane.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-03-07T23:53:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "76D03",
      "34G20"
    ],
    "keywords": [
      "periodic boundary conditions",
      "navier-stokes equations",
      "trapping regions",
      "ode-type proof",
      "uniqueness theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......3053Z"
    }
  }
}