{
  "id": "1407.7303",
  "version": "v1",
  "published": "2014-07-28T01:28:48.000Z",
  "updated": "2014-07-28T01:28:48.000Z",
  "title": "Remarks on a Liouville-type theorem for Beltrami flows",
  "authors": [
    "Dongho Chae",
    "Peter Constantin"
  ],
  "comment": "6 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We present a simple, short and elementary proof that if $v$ is a Beltrami flow with a finite energy in $\\mathbb R^3$ then $v=0$. In the case of the Beltrami flows satisfying $v\\in L^\\infty _{loc} (\\Bbb R^3) \\cap L^q(\\Bbb R^3)$ with $q\\in [2, 3)$, or $|v(x)|=O(1/|x|^{1+\\varepsilon})$ for some $\\varepsilon >0$, we provide a different, simple proof that $v=0$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-28T01:28:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q31",
      "76B03",
      "76W05"
    ],
    "keywords": [
      "liouville-type theorem",
      "simple proof",
      "elementary proof",
      "finite energy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.7303C"
    }
  }
}