{
  "id": "1610.00229",
  "version": "v1",
  "published": "2016-10-02T06:11:49.000Z",
  "updated": "2016-10-02T06:11:49.000Z",
  "title": "Hölder continuity of velocity gradients for shear-thinning fluids under perfect slip boundary conditions",
  "authors": [
    "Václav Mácha",
    "Jakub Tichý"
  ],
  "comment": "19 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper is concerned with non-stationary flows of sheart-hinning fluids in a bounded two-dimensional C^{2;1} domain. Assuming perfect slip boundary conditions, we provide a proof of the existence of a solution with the H\\\"older continuous velocity gradients and pressure under condition that a stress tensor satisfies power-law with growth p\\in[5/3; 2].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-02T06:11:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B65",
      "35K51",
      "35Q35",
      "76D03"
    ],
    "keywords": [
      "hölder continuity",
      "shear-thinning fluids",
      "stress tensor satisfies power-law",
      "assuming perfect slip boundary conditions",
      "continuous velocity gradients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}