{
  "id": "physics/9911024",
  "version": "v2",
  "published": "1999-11-12T16:30:06.000Z",
  "updated": "2000-08-03T09:28:59.000Z",
  "title": "Quasilinear theory of the 2D Euler equation",
  "authors": [
    "Pierre-Henri Chavanis"
  ],
  "comment": "4 pages",
  "journal": "Phys. Rev. Lett. 84, 5512-5515 (2000)",
  "doi": "10.1103/PhysRevLett.84.5512",
  "categories": [
    "physics.flu-dyn",
    "cond-mat.stat-mech",
    "nlin.CD"
  ],
  "abstract": "We develop a quasilinear theory of the 2D Euler equation and derive an integro-differential equation for the evolution of the coarse-grained vorticity. This equation respects all the invariance properties of the Euler equation and conserves angular momentum in a circular domain and linear impulse in a channel. We show under which hypothesis we can derive a H-theorem for the Fermi-Dirac entropy and make the connection with statistical theories of 2D turbulence.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-08-03T09:28:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "2d euler equation",
      "quasilinear theory",
      "conserves angular momentum",
      "integro-differential equation",
      "fermi-dirac entropy"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}