{
  "id": "1209.3988",
  "version": "v1",
  "published": "2012-09-18T15:21:10.000Z",
  "updated": "2012-09-18T15:21:10.000Z",
  "title": "Desingularization of vortex rings and shallow water vortices by semilinear elliptic problem",
  "authors": [
    "Sébastien de Valeriola",
    "Jean Van Schaftingen"
  ],
  "comment": "34 pages",
  "journal": "Arch. Rat. Mech. Anal. 210 (2013), no. 2, 409-450",
  "doi": "10.1007/s00205-013-0647-3",
  "categories": [
    "math.AP"
  ],
  "abstract": "Steady vortices for the three-dimensional Euler equation for inviscid incompressible flows and for the shallow water equation are constructed and showed to tend asymptotically to singular vortex filaments. The construction is based on the asymptotic study of solutions to a semilinear elliptic problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-18T15:21:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q31",
      "35B25",
      "35J20",
      "35J61",
      "35J75",
      "35J91",
      "35R35",
      "76B47"
    ],
    "keywords": [
      "semilinear elliptic problem",
      "shallow water vortices",
      "vortex rings",
      "desingularization",
      "singular vortex filaments"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Archive for Rational Mechanics and Analysis",
      "year": 2013,
      "month": "Nov",
      "volume": 210,
      "number": 2,
      "pages": 409
    },
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013ArRMA.210..409D"
    }
  }
}