{
  "id": "1708.07468",
  "version": "v1",
  "published": "2017-08-24T15:49:21.000Z",
  "updated": "2017-08-24T15:49:21.000Z",
  "title": "Sharp interface limit of a diffuse interface model for tumor-growth",
  "authors": [
    "Mingwen Fei",
    "Tao Tao",
    "Wei Wang"
  ],
  "comment": "35 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the asymptotic limit of a diffuse interface model for tumor-growth when a parameter $\\varepsilon$ proportional to the thickness of the diffuse interface goes to zero. An approximate solution which shows explicitly the behavior of the true solution for small $\\varepsilon$ will be constructed by using matched expansion method. Based on the energy method, a spectral condition in particular, we establish a smallness estimate of the difference between the approximate solution and the true solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-24T15:49:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "diffuse interface model",
      "sharp interface limit",
      "tumor-growth",
      "approximate solution",
      "true solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}