{
  "id": "1705.07023",
  "version": "v1",
  "published": "2017-05-19T14:39:38.000Z",
  "updated": "2017-05-19T14:39:38.000Z",
  "title": "On a free boundary problem for polymeric fluids: Global existence of weak solutions",
  "authors": [
    "Donatella Donatelli",
    "Konstantina Trivisa"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We investigate the stability and global existence of weak solutions to a free boundary problem governing the evolution of polymeric fluids. We construct weak solutions of the two-phase model by performing the asymptotic limit of a macroscopic model governing the suspensions of rod-like molecules (known as Doi-Model) in compressible fluids as the adiabatic exponent $\\gamma$ goes to $\\infty.$ The convergence of these solutions, up to a subsequence, to the free-boundary problem is established using techniques in the spirit of Lions and Masmoudi \\cite{LionsMasmoudi-1999}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-19T14:39:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q30",
      "76N10",
      "46E35"
    ],
    "keywords": [
      "polymeric fluids",
      "global existence",
      "construct weak solutions",
      "free boundary problem governing",
      "adiabatic exponent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}