{
  "id": "1611.09070",
  "version": "v1",
  "published": "2016-11-28T11:10:36.000Z",
  "updated": "2016-11-28T11:10:36.000Z",
  "title": "Bounds for solutions to the problem of steady water waves with vorticity",
  "authors": [
    "Vladimir Kozlov",
    "Nikolay Kuznetsov"
  ],
  "comment": "22 pages, 2 figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The two-dimensional free-boundary problem describing steady gravity waves with vorticity on water of finite depth is considered. Bounds for stream functions as well as free-surface profiles and the total head are obtained under the assumption that the vorticity distribution is a locally Lipschitz function. It is also shown that wave flows have counter-currents in the case when the infimum of the free surface profile exceeds a certain critical value.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-28T11:10:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76B15"
    ],
    "keywords": [
      "steady water waves",
      "free surface profile exceeds",
      "steady gravity waves",
      "two-dimensional free-boundary problem",
      "wave flows"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}