{
  "id": "1407.8367",
  "version": "v1",
  "published": "2014-07-31T11:48:39.000Z",
  "updated": "2014-07-31T11:48:39.000Z",
  "title": "Symmetry analysis and exact solutions of one class of (1+3)-dimensional boundary-value problems of the Stefan type",
  "authors": [
    "S. S. Kovalenko"
  ],
  "comment": "Published version",
  "journal": "Ukr. Math. J. 63 (2012) 1534--1542",
  "doi": "10.1007/s11253-012-0598-0",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We present the group classification of one class of (1+3)-dimensional nonlinear boundary-value problems of the Stefan type that simulate the processes of melting and evaporation of metals. The results obtained are used for the construction of the exact solution of one boundary-value problem from the class under study.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-31T11:48:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E70",
      "35K61",
      "80A22"
    ],
    "keywords": [
      "exact solution",
      "stefan type",
      "symmetry analysis",
      "nonlinear boundary-value problems",
      "group classification"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.8367K"
    }
  }
}