{
  "id": "2003.09749",
  "version": "v1",
  "published": "2020-03-21T20:45:17.000Z",
  "updated": "2020-03-21T20:45:17.000Z",
  "title": "Asymptotic expansions for the Lagrangian trajectories from solutions of the Navier-Stokes equations",
  "authors": [
    "Luan Hoang"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AP",
    "math.CA",
    "math.DS"
  ],
  "abstract": "Consider any Leray-Hopf weak solution of the three-dimensional Navier-Stokes equations for incompressible, viscous fluid flows. We prove that any Lagrangian trajectory associated with such a velocity field has an asymptotic expansion, as time tends to infinity, which describes its long-time behavior very precisely.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-21T20:45:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymptotic expansion",
      "lagrangian trajectory",
      "three-dimensional navier-stokes equations",
      "leray-hopf weak solution",
      "long-time behavior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}