{
  "id": "0707.2660",
  "version": "v3",
  "published": "2007-07-18T07:38:15.000Z",
  "updated": "2008-07-28T09:57:26.000Z",
  "title": "A third-order dispersive flow for closed curves into Kähler manifolds",
  "authors": [
    "Eiji Onodera"
  ],
  "comment": "25pages, final version",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is devoted to studying the initial value problem for a third-order dispersive equation for closed curves into K\\\"ahler manifolds. This equation is a geometric generalization of a two-sphere valued system modeling the motion of vortex filament. We prove the local existence theorem by using geometric analysis and classical energy method.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-07-28T09:57:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44",
      "35Q53"
    ],
    "keywords": [
      "third-order dispersive flow",
      "closed curves",
      "kähler manifolds",
      "initial value problem",
      "local existence theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.2660O"
    }
  }
}