{
  "id": "0806.4530",
  "version": "v1",
  "published": "2008-06-27T14:10:02.000Z",
  "updated": "2008-06-27T14:10:02.000Z",
  "title": "Inverse kinetic theory approach to turbulence theory",
  "authors": [
    "M. Tessarotto",
    "M. Ellero",
    "P. Nicolini"
  ],
  "comment": "Contributed paper at RGD26 (Kyoto, Japan, July 2008)",
  "doi": "10.1063/1.3076478",
  "categories": [
    "physics.flu-dyn",
    "physics.class-ph"
  ],
  "abstract": "A fundamental aspect of turbulence theory is related to the identification of realizable phase-space statistical descriptions able to reproduce in some suitable sense the stochastic fluid equations of a turbulent fluid. In particular, a major open issue is whether a purely Markovian statistical description of hydrodynamic turbulence actually can be achieved. Based on the formulation of a \\textit{deterministic inverse kinetic theory} (IKT) for the 3D incompressible Navier-Stokes equations, here we claim that such a \\textit{Markovian statistical description actually exists}. The approach, which involves the introduction of the \\textit{local velocity probability density} for the fluid (local pdf) - rather than the velocity-difference pdf adopted in customary approaches to homogeneous turbulence - relies exclusively on first principles. These include - in particular - the exact validity of the stochastic Navier-Stokes equations, the principle of entropy maximization and a constant H-theorem for the Shannon statistical entropy. As a result, the new approach affords an exact equivalence between Lagrangian and Eulerian formulations which permit local pdf's which are generally non-Maxwellian (i.e., non-Gaussian). The theory developed is quite general and applies in principle even to turbulence regimes which are non-stationary and non-uniform in a statistical sense.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-27T14:10:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51.10.+y",
      "47.27.-i",
      "47.10.ad"
    ],
    "keywords": [
      "inverse kinetic theory approach",
      "turbulence theory",
      "statistical description",
      "stochastic fluid equations",
      "3d incompressible navier-stokes equations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008AIPC.1084..230T"
    }
  }
}