{
  "id": "1306.6176",
  "version": "v1",
  "published": "2013-06-26T09:17:21.000Z",
  "updated": "2013-06-26T09:17:21.000Z",
  "title": "A singularly perturbed non-ideal transmission problem and application to the effective conductivity of a periodic composite",
  "authors": [
    "Matteo Dalla Riva",
    "Paolo Musolino"
  ],
  "journal": "SIAM J. Appl. Math., 73(1): 24-46, 2013",
  "doi": "10.1137/120886637",
  "categories": [
    "math.AP"
  ],
  "abstract": "We investigate the effective thermal conductivity of a two-phase composite with thermal resistance at the interface. The composite is obtained by introducing into an infinite homogeneous matrix a periodic set of inclusions of a different material. The diameter of each inclusion is assumed to be proportional to a positive real parameter \\epsilon. Under suitable assumptions, we show that the effective conductivity can be continued real analytically in the parameter \\epsilon around the degenerate value \\epsilon=0, in correspondence of which the inclusions collapse to points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-26T09:17:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J25",
      "31B10",
      "45A05",
      "74E30",
      "74G10",
      "74M15"
    ],
    "keywords": [
      "singularly perturbed non-ideal transmission problem",
      "effective conductivity",
      "periodic composite",
      "application",
      "thermal resistance"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.6176D"
    }
  }
}