{
  "id": "1202.1085",
  "version": "v1",
  "published": "2012-02-06T10:00:27.000Z",
  "updated": "2012-02-06T10:00:27.000Z",
  "title": "Long time existence of regular solutions to non-homogeneous Navier-Stokes equations",
  "authors": [
    "Wojciech M. Zajaczkowski"
  ],
  "comment": "37 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the motion of incompressible viscous non-homogeneous fluid described by the Navier-Stokes equations in a bounded cylinder under boundary slip conditions. Assume that the third co-ordinate axis is the axis of the cylinder. Assuming that the derivatives of density, velocity, external force with respect to the third co-ordinate are sufficiently small in some norms we prove large time regular solutions without any restriction on the existence time. The proof is divided into two parts. First an a priori estimate is shown. Next the existence follows from the Leray-Schauder fixed point theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-06T10:00:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "76D05",
      "76D03",
      "35Q35"
    ],
    "keywords": [
      "long time existence",
      "non-homogeneous navier-stokes equations",
      "large time regular solutions",
      "boundary slip conditions",
      "leray-schauder fixed point theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.1085Z"
    }
  }
}