{
  "id": "1908.07224",
  "version": "v1",
  "published": "2019-08-20T08:48:13.000Z",
  "updated": "2019-08-20T08:48:13.000Z",
  "title": "The global well-posedness for the compressible fluid model of Korteweg type",
  "authors": [
    "Miho Murata",
    "Yoshihiro Shibata"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we consider the compressible fluid model of Korteweg type which can be used as a phase transition model. It is shown that the system admits a unique, global strong solution for small initial data in $\\mathbb R^N$, $N \\geq 3$. In this study, the main tools are the maximal $L_p$-$L_q$ regularity and $L_p$-$L_q$ decay properties of solutions to the linearized equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-20T08:48:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compressible fluid model",
      "korteweg type",
      "global well-posedness",
      "phase transition model",
      "small initial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}