{
  "id": "1611.01188",
  "version": "v1",
  "published": "2016-11-03T21:03:16.000Z",
  "updated": "2016-11-03T21:03:16.000Z",
  "title": "On the well-posedness of the hyperelastic rod equation",
  "authors": [
    "Hasan Inci"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we consider the hyperelastic rod equation on the Sobolev spaces $H^s(\\R)$, $s > 3/2$. Using a geometric approach we show that for any $T > 0$ the corresponding solution map, $u(0) \\mapsto u(T)$, is nowhere locally uniformly continuous. The method applies also to the periodic case $H^s(\\mathbb T)$, $s > 3/2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-03T21:03:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperelastic rod equation",
      "well-posedness",
      "periodic case",
      "method applies",
      "sobolev spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}