{
  "id": "0803.1930",
  "version": "v1",
  "published": "2008-03-13T09:29:10.000Z",
  "updated": "2008-03-13T09:29:10.000Z",
  "title": "Existence of global weak solution for compressible fluid models with a capillary tensor for discontinuous interfaces",
  "authors": [
    "Boris Haspot"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "This work is devoted to the global existence of weak solution for a general isothermal model of capillary fluids derived by C. Rohde, which can be used as a phase transition model. This article is structured in the following way: first of all inspired by the result by P.-L. Lions on the Navier-Stokes compressible system we will show the global stability of weak solutions for our system with isentropic pressure and next with general pressure. Next we will consider perturbations close to a stable equilibrium as in the case of strong solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-13T09:29:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global weak solution",
      "compressible fluid models",
      "capillary tensor",
      "discontinuous interfaces",
      "general isothermal model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.1930H"
    }
  }
}