{
  "id": "2206.06855",
  "version": "v1",
  "published": "2022-06-14T13:51:14.000Z",
  "updated": "2022-06-14T13:51:14.000Z",
  "title": "A new convergence proof for approximations of the Stefan problem",
  "authors": [
    "Robert Eymard",
    "Thierry Gallou Ët"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "We consider the Stefan problem, firstly with regular data and secondly with irregular data. In both cases is given a proof for the convergence of an approximation obtained by regularising the problem. These proofs are based on weak formulations and on compactness results in some Sobolev spaces with negative exponents.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-14T13:51:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stefan problem",
      "convergence proof",
      "approximation",
      "irregular data",
      "weak formulations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}