{
  "id": "1410.1570",
  "version": "v1",
  "published": "2014-10-06T21:35:20.000Z",
  "updated": "2014-10-06T21:35:20.000Z",
  "title": "Wave breaking for the Whitham equation with fractional dispersion",
  "authors": [
    "Vera Mikyoung Hur",
    "Lizheng Tao"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We show wave breaking for the Whitham equation in a range of fractional dispersion, i.e. the solution remains bounded but its slope becomes unbounded in finite time, provided that the initial datum is sufficiently steep.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-06T21:35:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "whitham equation",
      "fractional dispersion",
      "wave breaking",
      "initial datum",
      "finite time"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/0951-7715/27/12/2937",
      "journal": "Nonlinearity",
      "year": 2014,
      "month": "Dec",
      "volume": 27,
      "number": 12,
      "pages": 2937
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014Nonli..27.2937M"
    }
  }
}