{
  "id": "1205.1420",
  "version": "v2",
  "published": "2012-05-07T14:58:34.000Z",
  "updated": "2013-03-06T15:27:00.000Z",
  "title": "Large-time Behavior of the Solutions to Rosenau Type Approximations to the Heat Equation",
  "authors": [
    "Thomas Rey",
    "Giuseppe Toscani"
  ],
  "comment": "20 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we study the large-time behavior of the solution to a general Rosenau type approximation to the heat equation, by showing that the solution to this approximation approaches the fundamental solution of the heat equation at a sub-optimal rate. The result is valid in particular for the central differences scheme approximation of the heat equation, a property which to our knowledge has never been observed before.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-03-06T15:27:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heat equation",
      "large-time behavior",
      "general rosenau type approximation",
      "central differences scheme approximation",
      "approximation approaches"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.1420R"
    }
  }
}