{
  "id": "0902.4741",
  "version": "v1",
  "published": "2009-02-27T14:46:54.000Z",
  "updated": "2009-02-27T14:46:54.000Z",
  "title": "Global solution and long-time behavior for a problem of phase segregation of the Allen-Cahn type",
  "authors": [
    "Pierluigi Colli",
    "Gianni Gilardi",
    "Paolo Podio-Guidugli",
    "Juergen Sprekels"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we study a model for phase segregation consisting in a sistem of a partial and an ordinary differential equation. By a careful definition of maximal solution to the latter equation, this system reduces to an Allen-Cahn equation with a memory term. Global existence and uniqueness of a smooth solution are proven and a characterization of the omega-limit set is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-27T14:46:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "74A15",
      "35K55",
      "35A05",
      "35B40"
    ],
    "keywords": [
      "long-time behavior",
      "global solution",
      "allen-cahn type",
      "ordinary differential equation",
      "omega-limit set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.4741C"
    }
  }
}