{
  "id": "1103.4925",
  "version": "v1",
  "published": "2011-03-25T08:25:36.000Z",
  "updated": "2011-03-25T08:25:36.000Z",
  "title": "Selfsimilar solutions of the binormal flow and their stability",
  "authors": [
    "Valeria Banica",
    "Luis Vega"
  ],
  "comment": "36 pages, survey to appear in Panoramas et Synth\\`eses",
  "categories": [
    "math.AP"
  ],
  "abstract": "We review some recent results concerning the evolution of a vortex filament and its relation to the cubic non-linear Schr\\\"odinger equation. Selfsimilar solutions and questions related to their stability are studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-25T08:25:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "selfsimilar solutions",
      "binormal flow",
      "vortex filament",
      "cubic non-linear"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.4925B"
    }
  }
}