{
  "id": "1406.1635",
  "version": "v1",
  "published": "2014-06-06T10:37:53.000Z",
  "updated": "2014-06-06T10:37:53.000Z",
  "title": "Existence of solutions to a two-dimensional model for nonisothermal two-phase flows of incompressible fluids",
  "authors": [
    "Michela Eleuteri",
    "Elisabetta Rocca",
    "Giulio Schimperna"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a thermodynamically consistent diffuse interface model describing two-phase flows of incompressible fluids in a non-isothermal setting. This model was recently introduced in a previous paper of ours, where we proved existence of weak solutions in three space dimensions. Here, we aim at studying the mathematical properties of the model in the two-dimensional case. In particular, we can show existence of global in time strong solutions. Moreover, we can admit slightly more general conditions on some material coefficients of the system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-06T10:37:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35K25",
      "76D05",
      "35D30"
    ],
    "keywords": [
      "nonisothermal two-phase flows",
      "incompressible fluids",
      "consistent diffuse interface model",
      "two-dimensional model",
      "interface model describing two-phase"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.1635E"
    }
  }
}