{
  "id": "0912.2739",
  "version": "v1",
  "published": "2009-12-14T21:02:44.000Z",
  "updated": "2009-12-14T21:02:44.000Z",
  "title": "Snakes and ladders: localized solutions of plane Couette flow",
  "authors": [
    "Tobias M. Schneider",
    "John F. Gibson",
    "John Burke"
  ],
  "comment": "submitted to Physics Review Letters",
  "categories": [
    "physics.flu-dyn",
    "math.DS",
    "nlin.PS"
  ],
  "abstract": "We demonstrate the existence of a large number of exact solutions of plane Couette flow, which share the topology of known periodic solutions but are localized in space. Solutions of different size are organized in a snakes-and-ladders structure strikingly similar to that observed for simpler pattern-forming PDE systems. These new solutions are a step towards extending the dynamical systems view of transitional turbulence to spatially extended flows.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-14T21:02:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47.54.-r",
      "47.27.ed"
    ],
    "keywords": [
      "plane couette flow",
      "localized solutions",
      "simpler pattern-forming pde systems",
      "snakes-and-ladders structure strikingly similar",
      "dynamical systems view"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevLett.104.104501",
      "journal": "Physical Review Letters",
      "year": 2010,
      "month": "Mar",
      "volume": 104,
      "number": 10,
      "pages": 104501
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvL.104j4501S"
    }
  }
}