{
  "id": "0706.2291",
  "version": "v1",
  "published": "2007-06-15T13:18:06.000Z",
  "updated": "2007-06-15T13:18:06.000Z",
  "title": "Existence theorem and blow-up criterion of the strong solutions to the Magneto-micropolar fluid equations",
  "authors": [
    "Jia Yuan"
  ],
  "comment": "19pages",
  "journal": "Mathematical Methods in the Applied Sciences, Vol.31, 9(2008)1113-1130",
  "doi": "10.1002/mma.967",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we study the magneto-micropolar fluid equations in $\\R^3$, prove the existence of the strong solution with initial data in $H^s(\\R^3)$ for $s> {3/2}$, and set up its blow-up criterion. The tool we mainly use is Littlewood-Paley decomposition, by which we obtain a Beale-Kato-Majda type blow-up criterion for smooth solution $(u,\\omega,b)$ which relies on the vorticity of velocity $\\nabla\\times u$ only.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-15T13:18:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76W05",
      "35B65"
    ],
    "keywords": [
      "magneto-micropolar fluid equations",
      "strong solution",
      "existence theorem",
      "beale-kato-majda type blow-up criterion",
      "smooth solution"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Mathematical Methods in the Applied Sciences",
      "year": 2008,
      "month": "Jun",
      "volume": 31,
      "number": 9,
      "pages": 1113
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008MMAS...31.1113Y"
    }
  }
}