{
  "id": "1901.06461",
  "version": "v1",
  "published": "2019-01-19T03:19:12.000Z",
  "updated": "2019-01-19T03:19:12.000Z",
  "title": "Existence of $\\mathcal{R}$-bounded solution operator families for a compressible fluid model of Korteweg type on the half-space",
  "authors": [
    "Hirokazu Saito"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The aim of this paper is to show the existence of $\\mathcal{R}$-bounded solution operator families for a generalized resolvent problem on the half-space arising from a compressible fluid model of Korteweg type. Such a compressible fluid model was derived by Dunn and Serrin (1985) and studied by Kotschote (2008) as an initial-boundary value problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-19T03:19:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bounded solution operator families",
      "compressible fluid model",
      "korteweg type",
      "half-space",
      "initial-boundary value problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}