{
  "id": "0902.0965",
  "version": "v1",
  "published": "2009-02-05T19:42:57.000Z",
  "updated": "2009-02-05T19:42:57.000Z",
  "title": "Existence of weak solution for compressible fluid models of Korteweg type",
  "authors": [
    "Boris Haspot"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "This work is devoted to prove existence of global weak solutions for a general isothermal model of capillary fluids derived by J.- E Dunn and J. Serrin (1985) [6], which can be used as a phase transition model. We improve the results of [5] by showing the existence of global weak solution in dimension two for initial data in the energy space, close to a stable equilibrium and with specific choices on the capillary coefficients. In particular we are interested in capillary coefficients approximating a constant capillarity coefficient. To finish we show the existence of global weak solution in dimension one for a specific type of capillary coefficients with large initial data in the energy space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-05T19:42:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compressible fluid models",
      "global weak solution",
      "korteweg type",
      "capillary coefficients",
      "energy space"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00021-009-0013-2",
      "journal": "Journal of Mathematical Fluid Mechanics",
      "year": 2011,
      "month": "Jun",
      "volume": 13,
      "number": 2,
      "pages": 223
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JMFM...13..223H"
    }
  }
}