{
  "id": "1312.6035",
  "version": "v1",
  "published": "2013-12-20T16:47:05.000Z",
  "updated": "2013-12-20T16:47:05.000Z",
  "title": "Local and Global Well-posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity",
  "authors": [
    "Chongsheng Cao",
    "Jinkai Li",
    "Edriss S. Titi"
  ],
  "categories": [
    "math.AP",
    "physics.ao-ph",
    "physics.flu-dyn",
    "physics.geo-ph"
  ],
  "abstract": "In this paper, we consider the initial-boundary value problem of the viscous 3D primitive equations for oceanic and atmospheric dynamics with only vertical diffusion in the temperature equation. Local and global well-posedness of strong solutions are established for this system with $H^2$ initial data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-20T16:47:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "65M70",
      "86-08",
      "86A10"
    ],
    "keywords": [
      "3d primitive equations",
      "vertical eddy diffusivity",
      "global well-posedness",
      "strong solutions",
      "initial-boundary value problem"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00205-014-0752-y",
      "journal": "Archive for Rational Mechanics and Analysis",
      "year": 2014,
      "month": "Oct",
      "volume": 214,
      "number": 1,
      "pages": 35
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014ArRMA.214...35C"
    }
  }
}