{
  "id": "2203.11833",
  "version": "v1",
  "published": "2022-03-22T15:59:58.000Z",
  "updated": "2022-03-22T15:59:58.000Z",
  "title": "On well-posedness of quantum fluid systems in the class of dissipative solutions",
  "authors": [
    "Danica Basarić",
    "Tong Tang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The main objects of the present work are the quantum Navier-Stokes and quantum Euler systems; for the first one, in particular, we will consider constant viscosity coefficients. We deal with the concept of dissipative solutions, for which we will first prove the weak-strong uniqueness principle and afterwards, we will show the global existence for any finite energy initial data. Finally, we will prove that both systems admit a semiflow selection in the class of dissipative solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-22T15:59:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum fluid systems",
      "dissipative solutions",
      "well-posedness",
      "finite energy initial data",
      "constant viscosity coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}