{
  "id": "2501.05134",
  "version": "v1",
  "published": "2025-01-09T10:35:20.000Z",
  "updated": "2025-01-09T10:35:20.000Z",
  "title": "Regularity and well-posedness of the Euler system in gas dynamics for dissipative solutions",
  "authors": [
    "Eduard Feireisl",
    "Ansgar Jüngel",
    "Mária Lukáčová-Medvid'ová"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We show that any dissipative (measure-valued) solution of the compressible Euler system that complies with Dafermos' criterion of maximal dissipation is necessarily an admissible weak solution. In addition, we propose a simple, at most two step, selection procedure to identify a unique semigroup solution in the class of dissipative solutions to the Euler system. Finally, we introduce a refined version of Dafermos' criterion yielding a unique solution of the problem for any finite energy initial data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-01-09T10:35:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q31",
      "76N10",
      "35B65",
      "35D99",
      "35F50"
    ],
    "keywords": [
      "dissipative solutions",
      "gas dynamics",
      "regularity",
      "well-posedness",
      "finite energy initial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}