{
  "id": "1308.4246",
  "version": "v2",
  "published": "2013-08-20T07:40:52.000Z",
  "updated": "2013-09-01T08:18:48.000Z",
  "title": "Incompressible limit of strong solutions to 3-D Navier-Stokes equations with Navier's slip boundary condition for all time",
  "authors": [
    "Yaobin Ou",
    "Dandan Ren"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper studies the incompressible limit of global strong solutions to the three-dimensional compressible Navier-Stokes equations associated with Navier's slip boundary condition, provided that the time derivatives, up to first order, of solutions are bounded initially. The main idea is to derive a differential inequality with decay, so that the estimates are bounded uniformly both in the Mach number 0<\\epsilon<=\\epsilon 0 for some \\epsilon 0>0 and the time t>=0.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-01T08:18:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76N99",
      "35M33",
      "35Q30"
    ],
    "keywords": [
      "naviers slip boundary condition",
      "incompressible limit",
      "global strong solutions",
      "three-dimensional compressible navier-stokes equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.4246O"
    }
  }
}