{
  "id": "2310.02890",
  "version": "v1",
  "published": "2023-10-04T15:27:31.000Z",
  "updated": "2023-10-04T15:27:31.000Z",
  "title": "Singularities of the network flow with symmetric initial data",
  "authors": [
    "Matteo Novaga",
    "Luciano Sciaraffia"
  ],
  "comment": "10 pages, 2 figures",
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "We study the formation of singularities for the curvature flow of networks when the initial data is symmetric with respect to a pair of perpendicular axes and has two triple junctions. We show that, in this case, the set of singular times is finite.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-04T15:27:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53E10",
      "53E99",
      "53C44"
    ],
    "keywords": [
      "symmetric initial data",
      "network flow",
      "singularities",
      "curvature flow",
      "perpendicular axes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}