{
  "id": "1307.7316",
  "version": "v1",
  "published": "2013-07-27T22:08:03.000Z",
  "updated": "2013-07-27T22:08:03.000Z",
  "title": "Global weak solution for a coupled compressible Navier-Stokes and Q-tensor system",
  "authors": [
    "Dehua Wang",
    "Xiang Xu",
    "Cheng Yu"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we study a coupled compressible Navier-Stokes/Q-tensor system modeling the nematic liquid crystal flow in a three-dimensional bounded spatial domain. The existence and long time dynamics of globally defined weak solutions for the coupled system are established, using weak convergence methods, compactness and interpolation arguments. The symmetry and traceless properties of the Q-tensor play key roles in this process.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-27T22:08:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global weak solution",
      "coupled compressible navier-stokes",
      "compressible navier-stokes/q-tensor system modeling",
      "nematic liquid crystal flow",
      "weak convergence methods"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.7316W"
    }
  }
}