{
  "id": "1803.11279",
  "version": "v2",
  "published": "2018-03-29T23:03:50.000Z",
  "updated": "2019-08-07T18:17:58.000Z",
  "title": "Development of Singularities of the Skyrme Model",
  "authors": [
    "Michael McNulty"
  ],
  "comment": "13 pages, 3 figures, fixed typos, minor modifications",
  "categories": [
    "math.AP"
  ],
  "abstract": "The Skyrme model is a geometric field theory and a quasilinear modification of the Nonlinear Sigma Model (Wave Maps). In this paper we study the development of singularities for the equivariant Skyrme Model, in the strong-field limit, where the restoration of scale invariance allows us to look for self-similar blow-up behavior. After introducing the Skyrme Model and reviewing what's known about formation of singularities in equivariant Wave Maps, we prove the existence of smooth self-similar solutions to the $5+1$-dimensional Skyrme Model in the strong-field limit, and use that to conclude that the solution to the corresponding Cauchy problem blows up in finite time, starting from a particular class of everywhere smooth initial data.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2019-08-07T18:17:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "singularities",
      "development",
      "strong-field limit",
      "geometric field theory",
      "corresponding cauchy problem blows"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}