{
  "id": "2012.10918",
  "version": "v1",
  "published": "2020-12-20T13:33:18.000Z",
  "updated": "2020-12-20T13:33:18.000Z",
  "title": "Traveling vortex pairs for 2D incompressible Euler equations",
  "authors": [
    "Daomin Cao",
    "Shanfa Lai",
    "Weicheng Zhan"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we study desingularization of vortices for the two-dimensional incompressible Euler equations in the full plane. We construct a family of steady vortex pairs for the Euler equations with a general vorticity function, which constitutes a desingularization of a pair of point vortices with equal magnitude and opposite signs. The results are obtained by using an improved vorticity method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-20T13:33:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "2d incompressible euler equations",
      "traveling vortex pairs",
      "two-dimensional incompressible euler equations",
      "steady vortex pairs",
      "general vorticity function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}