{
  "id": "1705.04314",
  "version": "v1",
  "published": "2017-05-10T01:13:39.000Z",
  "updated": "2017-05-10T01:13:39.000Z",
  "title": "Compressible-incompressible two phase flow of Korteweg type with phase transition: model problem",
  "authors": [
    "Keiichi Watanabe"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1501.02301 by other authors",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we prove the existence of $\\mathcal{R}$-bounded solution operator families for a resolvent problem arising from the motion, where one fluid is capillary compressible viscous flow and the other is incompressible viscous flow. The model includes phase transition and surface tension. We emphasize that the regularity of density is $W^3_q$ with respect to space variable, although it is $W^1_q$ in the usual case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-10T01:13:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "76T10"
    ],
    "keywords": [
      "phase transition",
      "korteweg type",
      "model problem",
      "phase flow",
      "bounded solution operator families"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}