{
  "id": "physics/0511075",
  "version": "v2",
  "published": "2005-11-09T14:21:55.000Z",
  "updated": "2006-07-04T08:32:25.000Z",
  "title": "Analytic Study of Shell Models of Turbulence",
  "authors": [
    "Peter Constantin",
    "Boris Levant",
    "Edriss S. Titi"
  ],
  "doi": "10.1016/j.physd.2006.05.015",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "In this paper we study analytically the viscous `sabra' shell model of energy turbulent cascade. We prove the global regularity of solutions and show that the shell model has finitely many asymptotic degrees of freedom, specifically: a finite dimensional global attractor and globally invariant inertial manifolds. Moreover, we establish the existence of exponentially decaying energy dissipation range for the sufficiently smooth forcing.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-07-04T08:32:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "shell model",
      "analytic study",
      "finite dimensional global attractor",
      "turbulence",
      "globally invariant inertial manifolds"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}