{
  "id": "1205.4507",
  "version": "v1",
  "published": "2012-05-21T07:38:59.000Z",
  "updated": "2012-05-21T07:38:59.000Z",
  "title": "Global existence of strong solutions to micropolar equations in cylindrical domains",
  "authors": [
    "B. Nowakowski"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The micropolar equations are a useful generalization of the classical Navier-Stokes model for fluids with micro-structure. We prove the existence of global and strong solutions to these equations in cylindrical domains in $\\mathbb{R}^3$. We do not impose any restrictions on the magnitude of the initial and external data but we require that they cannot change in the $x_3$-direction too fast.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-21T07:38:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "76D05"
    ],
    "keywords": [
      "micropolar equations",
      "strong solutions",
      "cylindrical domains",
      "global existence",
      "external data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.4507N"
    }
  }
}