{
  "id": "math/0503010",
  "version": "v1",
  "published": "2005-03-01T11:59:31.000Z",
  "updated": "2005-03-01T11:59:31.000Z",
  "title": "Measuring the mixing efficiency in a simple model of stirring:some analytical results and a quantitative study via Frequency Map Analysis",
  "authors": [
    "Timoteo Carletti",
    "Alessandro Margheri"
  ],
  "comment": "10 figures",
  "doi": "10.1088/0305-4470/39/2/002",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove the existence of invariant curves for a $T$--periodic Hamiltonian system which models a fluid stirring in a cylindrical tank, when $T$ is small and the assigned stirring protocol is piecewise constant. Furthermore, using the Numerical Analysis of the Fundamental Frequency of Laskar, we investigate numerically the break down of invariant curves as $T$ increases and we give a quantitative estimate of the efficiency of the mixing.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-01T11:59:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34C29",
      "76M99",
      "65T99"
    ],
    "keywords": [
      "frequency map analysis",
      "simple model",
      "mixing efficiency",
      "quantitative study",
      "analytical results"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2006,
      "month": "Jan",
      "volume": 39,
      "number": 2,
      "pages": 299
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006JPhA...39..299C"
    }
  }
}