{
  "id": "1706.02020",
  "version": "v1",
  "published": "2017-06-07T01:43:45.000Z",
  "updated": "2017-06-07T01:43:45.000Z",
  "title": "Energy concentrations and Type I blow-up for the 3D Euler equations",
  "authors": [
    "Dongho Chae",
    "Joerg Wolf"
  ],
  "comment": "42 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We exclude Type I blow-up, which occurs in the form of atomic concentrations of the $L^2$ norm for the solution of the 3D incompressible Euler equations. As a corollary we prove nonexistence of discretely self-similar blow-up in the energy conserving scale.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-07T01:43:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q31",
      "76B03"
    ],
    "keywords": [
      "3d euler equations",
      "energy concentrations",
      "3d incompressible euler equations",
      "exclude type",
      "discretely self-similar blow-up"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}