{
  "id": "1908.09424",
  "version": "v1",
  "published": "2019-08-26T01:13:10.000Z",
  "updated": "2019-08-26T01:13:10.000Z",
  "title": "A Note on Singularity Formation for a Nonlocal Transport Equation",
  "authors": [
    "Vu Hoang",
    "Maria Radosz"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The $\\alpha$-patch model is used to study aspects of fluid equations. We show that solutions of this model form singularities in finite time and give a characterization of the solution profile at the singular time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-26T01:13:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlocal transport equation",
      "singularity formation",
      "model form singularities",
      "patch model",
      "singular time"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}