{
  "id": "1407.4776",
  "version": "v2",
  "published": "2014-07-17T19:06:57.000Z",
  "updated": "2015-09-14T14:39:58.000Z",
  "title": "On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations",
  "authors": [
    "Kyudong Choi",
    "Thomas Y. Hou",
    "Alexander Kiselev",
    "Guo Luo",
    "Vladimir Sverak",
    "Yao Yao"
  ],
  "comment": "A paragraph at the end of Section 2 and an appendix discussing kinetic energy conservation are added",
  "categories": [
    "math.AP"
  ],
  "abstract": "In connection with the recent proposal for possible singularity formation at the boundary for solutions of 3d axi-symmetric incompressible Euler's equations (Luo and Hou, 2013), we study models for the dynamics at the boundary and show that they exhibit a finite-time blow-up from smooth data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-17T19:06:57.000Z",
      "comment": "20 pages, 3 figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-09-14T14:39:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "3d axisymmetric euler equations",
      "1d model",
      "finite-time blowup",
      "3d axi-symmetric incompressible eulers equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.4776C"
    }
  }
}