{
  "id": "1705.02805",
  "version": "v1",
  "published": "2017-05-08T10:02:02.000Z",
  "updated": "2017-05-08T10:02:02.000Z",
  "title": "Existence of regular solutions for a certain type of non-Newtonian Navier-Stokes equations",
  "authors": [
    "Kyungkeun Kang",
    "Hwa Kil Kim",
    "Jae-Myoung Kim"
  ],
  "comment": "27 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We are concerned with existence of regular solutions for non-Newtonian fluids in dimension three. For a certain type of non-Newtonian fluids we prove local existence of unique regular solutions, provided that the initial data are sufficiently smooth. Moreover, if the $H^3$-norm of initial data is sufficiently small, then the regular solution exists globally in time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-08T10:02:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76A05",
      "76A05",
      "76D05",
      "49N60"
    ],
    "keywords": [
      "non-newtonian navier-stokes equations",
      "initial data",
      "non-newtonian fluids",
      "unique regular solutions",
      "local existence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}