{
  "id": "1806.04809",
  "version": "v1",
  "published": "2018-06-13T01:08:59.000Z",
  "updated": "2018-06-13T01:08:59.000Z",
  "title": "The Navier-Stokes equations with the Neumann boundary condition in an infinite cylinder",
  "authors": [
    "Ken Abe"
  ],
  "comment": "28 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove unique existence of local-in-time smooth solutions of the Navier-Stokes equations for initial data in $L^{p}$ and $p \\in [3, \\infty)$ in an infinite cylinder, subject to the Neumann boundary condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-13T01:08:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "neumann boundary condition",
      "infinite cylinder",
      "navier-stokes equations",
      "local-in-time smooth solutions",
      "unique existence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}