{
  "id": "math/0411434",
  "version": "v1",
  "published": "2004-11-19T15:45:21.000Z",
  "updated": "2004-11-19T15:45:21.000Z",
  "title": "Nonlinear wave interactions for the Benjamin-Ono equation",
  "authors": [
    "Herbert Koch",
    "Nikolay Tzvetkov"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the interaction of suitable small and high frequency waves evolving by the flow of the Benjamin-Ono equation. As a consequence, we prove that the flow map of the Benjamin-Ono equation can not be uniformly continuous on bounded sets of H^s(R) for s>0.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-11-19T15:45:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "37K10"
    ],
    "keywords": [
      "benjamin-ono equation",
      "nonlinear wave interactions",
      "high frequency waves evolving",
      "flow map",
      "consequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11434K"
    }
  }
}