{
  "id": "0906.1509",
  "version": "v1",
  "published": "2009-06-08T14:44:44.000Z",
  "updated": "2009-06-08T14:44:44.000Z",
  "title": "Existence result for stationary compressible fluids and asymptotic behavior in thin films",
  "authors": [
    "Laurent Chupin",
    "Rémy Sart"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper, we are first interested in the compressible Navier-Stokes equations with densitydependent viscosities in bounded domains with on-homogeneous Dirichlet conditions. We study the wellposedness of such models with non-constant coefficients in non-stationary and stationary cases. We apply the last result in thin domains context, justifying the compressible Reynolds equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-08T14:44:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "76A20",
      "76D05",
      "76D08",
      "76N10"
    ],
    "keywords": [
      "stationary compressible fluids",
      "existence result",
      "asymptotic behavior",
      "thin films",
      "thin domains context"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.1509C"
    }
  }
}