{
  "id": "1103.4585",
  "version": "v1",
  "published": "2011-03-23T18:05:58.000Z",
  "updated": "2011-03-23T18:05:58.000Z",
  "title": "Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system",
  "authors": [
    "Pierluigi Colli",
    "Gianni Gilardi",
    "Paolo Podio-Guidugli",
    "Juergen Sprekels"
  ],
  "comment": "Key words: Cahn-Hilliard equation, phase field model, well-posedness, long-time behavior",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study a diffusion model of phase field type, consisting of a system of two partial differential equations encoding the balances of microforces and microenergy; the two unknowns are the order parameter and the chemical potential. By a careful development of uniform estimates and the deduction of certain useful boundedness properties, we prove existence and uniqueness of a global-in-time smooth solution to the associated initial/boundary-value problem; moreover, we give a description of the relative omega-limit set.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-23T18:05:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "74A15",
      "35K55",
      "35A05",
      "35B40"
    ],
    "keywords": [
      "nonstandard viscous cahn-hilliard system",
      "long-time behavior",
      "well-posedness",
      "phase field type",
      "global-in-time smooth solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.4585C"
    }
  }
}