{
  "id": "1707.01232",
  "version": "v1",
  "published": "2017-07-05T07:04:44.000Z",
  "updated": "2017-07-05T07:04:44.000Z",
  "title": "A free boundary problem in biological selection models",
  "authors": [
    "Jimyeong Lee"
  ],
  "comment": "10pages",
  "categories": [
    "math.PR",
    "math.AP",
    "q-bio.PE"
  ],
  "abstract": "We prove local existence for classical solutions of a free boundary problem which arises in one of the biological selection models proposed by Brunet and Derrida, [3]. The problem we consider describes the limit evolution of branching brownian particles on the line with death of the leftmost particle at each creation time as studied in [7]. We use extensively results in [1] and [2].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-05T07:04:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "free boundary problem",
      "biological selection models",
      "local existence",
      "limit evolution",
      "branching brownian particles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}