{
  "id": "1902.10413",
  "version": "v1",
  "published": "2019-02-27T09:49:20.000Z",
  "updated": "2019-02-27T09:49:20.000Z",
  "title": "Stationary solutions of the Navier-Stokes-Fourier system in planar domains with impermeable boundary",
  "authors": [
    "I. S. Ciuperca",
    "E. Feireisl",
    "M. Jai",
    "A. Petrov"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The existence of weak solutions to the Navier-Stokes-Fourier system describing the stationary states of a compressible, viscous, and heat conducting fluid in bounded 2D-domains is shown under fairly general and physically relevant constitutive relations. The equation of state of a real fluid is considered, where the admissible range of density is confined to a bounded interval (hard sphere model). The transport coefficients depend on the temperature in a general way including both gases and liquids behavior. The heart of the paper are new a priori bounds resulting from Trudinger-Moser inequality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-27T09:49:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35B65",
      "76N10"
    ],
    "keywords": [
      "navier-stokes-fourier system",
      "planar domains",
      "stationary solutions",
      "impermeable boundary",
      "hard sphere model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}