{
  "id": "1503.06894",
  "version": "v1",
  "published": "2015-03-24T02:29:46.000Z",
  "updated": "2015-03-24T02:29:46.000Z",
  "title": "Global weak solutions to compressible quantum Navier-Stokes equations with damping",
  "authors": [
    "Alexis F. Vasseur",
    "Cheng Yu"
  ],
  "comment": "This paper provides the existence of the approximation in arXiv:1501.06803",
  "categories": [
    "math.AP"
  ],
  "abstract": "The global-in-time existence of weak solutions to the barotropic compressible quantum Navier-Stokes equations with damping is proved for large data in three dimensional space. The model consists of the compressible Navier-Stokes equations with degenerate viscosity, and a nonlinear third-order differential operator, with the quantum Bohm potential, and the damping terms. The global weak solutions to such system is shown by using the Faedo-Galerkin method and the compactness argument. This system is also a very important approximated system to the compressible Navier-Stokes equations. It will help us to prove the existence of global weak solutions to the compressible Navier-Stokes equations with degenerate viscosity in three dimensional space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-24T02:29:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global weak solutions",
      "compressible navier-stokes equations",
      "degenerate viscosity",
      "barotropic compressible quantum navier-stokes equations",
      "dimensional space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150306894V"
    }
  }
}