{
  "id": "1302.0919",
  "version": "v2",
  "published": "2013-02-05T02:07:40.000Z",
  "updated": "2013-02-14T16:11:06.000Z",
  "title": "Integrability and Hamiltonian system in isotropic turbulence",
  "authors": [
    "Zheng Ran"
  ],
  "comment": "7 pages;0 figures",
  "categories": [
    "physics.flu-dyn",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "We present developments of the Hamiltonian approach to problems of the freely decay of isotropic turbulence, and also consider specific applications of the modified Prelle-Singer procedure to isotropic turbulence. It demonstrates that a nonlinear second order ordinary differential equation is intimately related to the self-preserving solution of Karman-Howarth equation, admitting time-dependent first integrals and also proving the nonstandard Hamiltonian structure, as well as the Liouville sense of integrability.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-14T16:11:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "isotropic turbulence",
      "hamiltonian system",
      "second order ordinary differential equation",
      "integrability",
      "nonlinear second order ordinary differential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.0919R"
    }
  }
}