{
  "id": "1301.5563",
  "version": "v1",
  "published": "2013-01-23T16:53:40.000Z",
  "updated": "2013-01-23T16:53:40.000Z",
  "title": "The Penrose-Fife phase-field model with dynamic boundary conditions",
  "authors": [
    "Alain Miranville",
    "Elisabetta Rocca",
    "Giulio Schimperna",
    "Antonio Segatti"
  ],
  "comment": "32 pages",
  "categories": [
    "math.AP",
    "math.DS"
  ],
  "abstract": "In this paper we derive, starting from the basic principles of Thermodynamics, an extended version of the nonconserved Penrose-Fife phase transition model, in which dynamic boundary conditions are considered in order to take into account interactions with walls. Moreover, we study the well-posedness and the asymptotic behavior of the Cauchy problem for the PDE system associated to the model, allowing the phase configuration of the material to be described by a singular function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-01-23T16:53:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K61",
      "35D30",
      "34B16",
      "74H40",
      "34K21",
      "80A22"
    ],
    "keywords": [
      "dynamic boundary conditions",
      "penrose-fife phase-field model",
      "nonconserved penrose-fife phase transition model",
      "basic principles",
      "account interactions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.5563M"
    }
  }
}