{
  "id": "2001.06950",
  "version": "v1",
  "published": "2020-01-20T02:48:26.000Z",
  "updated": "2020-01-20T02:48:26.000Z",
  "title": "Homogenization of stationary Navier--Stokes--Fourier system in domains with tiny holes",
  "authors": [
    "Yong Lu",
    "Milan Pokorný"
  ],
  "comment": "27 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the homogenization of stationary compressible Navier--Stokes--Fourier system in a bounded three dimensional domain perforated with a large number of very tiny holes. Under suitable assumptions imposed on the smallness and distribution of the holes, we show that the homogenized limit system remains the same in the domain without holes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-20T02:48:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stationary navier-stokes-fourier system",
      "tiny holes",
      "homogenization",
      "stationary compressible navier-stokes-fourier system",
      "homogenized limit system remains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}