{
  "id": "math/0511236",
  "version": "v3",
  "published": "2005-11-09T18:06:06.000Z",
  "updated": "2006-11-15T05:36:06.000Z",
  "title": "Well-posedness of the free-surface incompressible Euler equations with or without surface tension",
  "authors": [
    "Daniel Coutand",
    "Steve Shkoller"
  ],
  "comment": "To appear in J. Amer. Math. Soc., 96 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We provide a new method for treating free boundary problems in perfect fluids, and prove local-in-time well-posedness in Sobolev spaces for the free-surface incompressible 3D Euler equations with or without surface tension for arbitrary initial data, and without any irrotationality assumption on the fluid. This is a free boundary problem for the motion of an incompressible perfect liquid in vacuum, wherein the motion of the fluid interacts with the motion of the free-surface at highest-order.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-11-15T05:36:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35R35",
      "35Q05",
      "76B03"
    ],
    "keywords": [
      "free-surface incompressible euler equations",
      "surface tension",
      "well-posedness",
      "free-surface incompressible 3d euler equations",
      "treating free boundary problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 96,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11236C"
    }
  }
}