{
  "id": "2102.00455",
  "version": "v1",
  "published": "2021-01-31T13:57:21.000Z",
  "updated": "2021-01-31T13:57:21.000Z",
  "title": "Nonisothermal Richards flow in porous media with cross diffusion",
  "authors": [
    "Esther S. Daus",
    "Josipa Pina Milišić",
    "Nicola Zamponi"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The existence of large-data weak entropy solutions to a nonisothermal immiscible compressible two-phase unsaturated flow model in porous media is proved. The model is thermodynamically consistent and includes temperature gradients and cross-diffusion effects. Due to the fact that some terms from the total energy balance are non-integrable in the classical weak sense, we consider so-called variational entropy solutions. A priori estimates are derived from the entropy balance and the total energy balance. The compactness is achieved by using the Div-Curl lemma.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-31T13:57:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K65",
      "35K70",
      "35Q35",
      "35K55",
      "76S05"
    ],
    "keywords": [
      "nonisothermal richards flow",
      "porous media",
      "cross diffusion",
      "two-phase unsaturated flow model",
      "total energy balance"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}