{
  "id": "0901.3486",
  "version": "v2",
  "published": "2009-01-22T14:46:45.000Z",
  "updated": "2009-01-24T11:10:09.000Z",
  "title": "Global Regularity of the 3D Axi-symmetric Navier-Stokes Equations with Anisotropic Data",
  "authors": [
    "Thomas Y. Hou",
    "Zhen Lei",
    "Congming Li"
  ],
  "journal": "Communications in Partial Differential Equations, 33 (2008), no. 9, 1622-1637",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we study the 3D axi-symmetric Navier-Stokes Equations with swirl. We prove the global regularity of the 3D Navier-Stokes equations for a family of large anisotropic initial data. Moreover, we obtain a global bound of the solution in terms of its initial data in some $L^p$ norm. Our results also reveal some interesting dynamic growth behavior of the solution due to the interaction between the angular velocity and the angular vorticity fields.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-01-24T11:10:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "76D05"
    ],
    "keywords": [
      "3d axi-symmetric navier-stokes equations",
      "global regularity",
      "anisotropic data",
      "large anisotropic initial data",
      "3d navier-stokes equations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}