{
  "id": "1403.1151",
  "version": "v1",
  "published": "2014-03-05T14:55:39.000Z",
  "updated": "2014-03-05T14:55:39.000Z",
  "title": "Sharp Interface Limit for the Cahn-Larché System",
  "authors": [
    "Helmut Abels",
    "Stefan Schaubeck"
  ],
  "comment": "57 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove rigorously the convergence of the Cahn-Larch\\'e system, which is a Cahn-Hilliard system coupled with the system of linearized elasticity, to a modified Hele-Shaw problem as long as a classical solution of the latter system exists. By matched asymptotic expansion we construct approximate solutions and estimate the difference between the true and the approximate solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-05T14:55:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "74N15",
      "35B25",
      "35K55"
    ],
    "keywords": [
      "sharp interface limit",
      "construct approximate solutions",
      "cahn-hilliard system",
      "matched asymptotic expansion",
      "modified hele-shaw problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 57,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.1151A"
    }
  }
}