{
  "id": "1912.12896",
  "version": "v1",
  "published": "2019-12-30T11:57:08.000Z",
  "updated": "2019-12-30T11:57:08.000Z",
  "title": "Generalized solutions to models of compressible viscous fluids",
  "authors": [
    "Anna Abbatiello",
    "Eduard Feireisl",
    "Antonin Novotny"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We propose a new approach to models of general compressible viscous fluids based on the concept of dissipative solutions. These are weak solutions satisfying the underlying equations modulo a defect measure. A dissipative solution coincides with the strong solution as long as the latter exists (weak-strong uniqueness) and they solve the problem in the classical sense as soon as they are smooth (compatibility). We consider general models of compressible viscous fluids with non-linear viscosity tensor and non-homogeneous boundary conditions, for which the problem of existence of global-in-time weak/strong solutions is largely open.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-30T11:57:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized solutions",
      "non-linear viscosity tensor",
      "global-in-time weak/strong solutions",
      "weak-strong uniqueness",
      "dissipative solution coincides"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}