{
  "id": "2003.05246",
  "version": "v1",
  "published": "2020-03-11T12:04:43.000Z",
  "updated": "2020-03-11T12:04:43.000Z",
  "title": "Proof of the Liouville type theorem for the stationary Navier-Stokes equations in $\\Bbb R^3$",
  "authors": [
    "Dongho Chae"
  ],
  "comment": "8 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we prove Liouville type theorem for the stationary Navier-Stokes equations in $\\Bbb R^3$. If $u$ is a smooth solution to the three dimensional stationary Navier-Stokes equations, which has finite Dirichlet integral, and vanishes uniformly at infinity, then we show that $u=0$ on $\\Bbb R^3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-11T12:04:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "76D05",
      "76D03"
    ],
    "keywords": [
      "liouville type theorem",
      "dimensional stationary navier-stokes equations",
      "finite dirichlet integral",
      "smooth solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}