{
  "id": "2112.13625",
  "version": "v3",
  "published": "2021-12-27T12:02:25.000Z",
  "updated": "2022-02-13T12:03:51.000Z",
  "title": "Asymptotic Derivation of Multicomponent Compressible Flows with Heat Conduction and Mass Diffusion",
  "authors": [
    "Stefanos Georgiadis",
    "Athanasios E. Tzavaras"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "A Type-I model of a multicomponent system of fluids with non-constant temperature is derived as the high-friction limit of a Type-II model via a Chapman-Enskog expansion. The asymptotic model is shown to fit into the general theory of hyperbolic-parabolic systems, by exploiting the entropy structure inherited through the asymptotic procedure. Finally, by deriving the relative entropy identity for the Type-I model, two convergence results for smooth solutions are presented, from the system with mass-diffusion and heat conduction to the corresponding system without mass-diffusion but including heat conduction and to its hyperbolic counterpart.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2022-02-13T12:03:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heat conduction",
      "multicomponent compressible flows",
      "mass diffusion",
      "asymptotic derivation",
      "type-i model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}