{
  "id": "1610.04478",
  "version": "v1",
  "published": "2016-10-14T14:26:02.000Z",
  "updated": "2016-10-14T14:26:02.000Z",
  "title": "Varifold solutions of a sharp interface limit of a diffuse interface model for tumor growth",
  "authors": [
    "S. Melchionna",
    "E. Rocca"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1212.5582 by other authors",
  "categories": [
    "math.AP"
  ],
  "abstract": "We discuss the sharp interface limit of a diffuse interface model for a coupled Cahn-Hilliard--Darcy system that models tumor growth when a certain parameter $\\varepsilon>0$, related to the interface thickness, tends to zero. In particular, we prove that weak solutions to the related initial boundary value problem tend to varifold solutions of a corresponding sharp interface model when $\\varepsilon$ goes to zero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-14T14:26:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "sharp interface limit",
      "diffuse interface model",
      "tumor growth",
      "varifold solutions",
      "initial boundary value problem tend"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}