{
  "id": "0909.3085",
  "version": "v1",
  "published": "2009-09-16T19:20:38.000Z",
  "updated": "2009-09-16T19:20:38.000Z",
  "title": "On collapse of wave maps",
  "authors": [
    "Yu. N. Ovchinnikov",
    "I. M. Sigal"
  ],
  "comment": "1 figure",
  "journal": "Physica D240:1311-1324,2011",
  "doi": "10.1016/j.physd.2011.04.014",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We derive the universal collapse law of degree 1 equivariant wave maps (solutions of the sigma-model) from the 2+1 Minkowski space-time,to the 2-sphere. To this end we introduce a nonlinear transformation from original variables to blowup ones. Our formal derivations are confirmed by numerical simulations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-16T19:20:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L70",
      "81T13"
    ],
    "keywords": [
      "universal collapse law",
      "equivariant wave maps",
      "formal derivations",
      "minkowski space-time",
      "nonlinear transformation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physica D Nonlinear Phenomena",
      "year": 2011,
      "month": "Aug",
      "volume": 240,
      "number": 17,
      "pages": 1311
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 831560,
      "adsabs": "2011PhyD..240.1311O"
    }
  }
}