{
  "id": "1602.04373",
  "version": "v1",
  "published": "2016-02-13T20:02:41.000Z",
  "updated": "2016-02-13T20:02:41.000Z",
  "title": "Global weak solutions of PDEs for compressible media: A compactness criterion to cover new physical situations",
  "authors": [
    "D. Bresch",
    "P. -E. Jabin"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1507.04629",
  "categories": [
    "math.AP",
    "math-ph",
    "math.FA",
    "math.MP"
  ],
  "abstract": "This short paper is an introduction of the memoir recently written by the two authors (see [D.Bresch., P.--E. Jabin, arXiv:1507.04629, (2015)]) which concerns the resolution of two longstanding problems: Global existence of weak solutions for compressible Navier-Stokes equations with thermodynamically unstable pressure and with anisotropic stress tensor. We focus here on a Stokes-like system which can for instance model flows in a compressible tissue in biology or in a compressible porous media in petroleum engineering. This allows us to explain, on a simpler but still relevant and important system, the tools recently introduced by the authors and to discuss the important results that have been obtained on the compressible Navier--Stokes equations. It is finally a real pleasure to dedicate this paper to G. Metivier for his 65's Birthday.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-13T20:02:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global weak solutions",
      "compactness criterion",
      "compressible media",
      "physical situations",
      "compressible navier-stokes equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160204373B"
    }
  }
}