{
  "id": "0709.4626",
  "version": "v2",
  "published": "2007-09-28T15:51:37.000Z",
  "updated": "2008-07-04T10:59:51.000Z",
  "title": "Global regularity for a Birkhoff-Rott-alpha approximation of the dynamics of vortex sheets of the 2D Euler equations",
  "authors": [
    "Claude Bardos",
    "Jasmine S. Linshiz",
    "Edriss S. Titi"
  ],
  "comment": "7 pages, no figures, submitted to the proceedings of the Conference EE250, corrected typos, references added",
  "doi": "10.1016/j.physd.2008.01.003",
  "categories": [
    "math.AP"
  ],
  "abstract": "We present an alpha-regularization of the Birkhoff-Rott equation, induced by the two-dimensional Euler-alpha equations, for the vortex sheet dynamics. We show that initially smooth self-avoiding vortex sheet remains smooth for all times under the alpha-regularized dynamics, provided the initial density of vorticity is an integrable function over the curve with respect to the arc-length measure.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-07-04T10:59:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76B03",
      "35Q35",
      "76B47"
    ],
    "keywords": [
      "2d euler equations",
      "vortex sheet remains smooth",
      "birkhoff-rott-alpha approximation",
      "global regularity",
      "smooth self-avoiding vortex sheet remains"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "publication": {
      "journal": "Physica D Nonlinear Phenomena",
      "year": 2008,
      "month": "Aug",
      "volume": 237,
      "number": "14-17",
      "pages": 1905
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhyD..237.1905B"
    }
  }
}