{
  "id": "1704.04006",
  "version": "v1",
  "published": "2017-04-13T06:27:42.000Z",
  "updated": "2017-04-13T06:27:42.000Z",
  "title": "Motion of a Vortex Filament on a Slanted Plane",
  "authors": [
    "Masashi Aiki"
  ],
  "comment": "45 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a nonlinear model equation, known as the Localized Induction Equation, describing the motion of a vortex filament immersed in an incompressible and inviscid fluid. We prove the unique solvability of an initial-boundary value problem describing the motion of a vortex filament on a slanted plane.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-13T06:27:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35Q55"
    ],
    "keywords": [
      "vortex filament",
      "slanted plane",
      "nonlinear model equation",
      "initial-boundary value problem",
      "localized induction equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}