{
  "annotation_id": "284c0133-3b1b-4e08-affb-b4eb1013b1f9",
  "date_created": "2026-03-02T18:00:57.063000Z",
  "date_modified": "2026-03-02T18:00:57.063000Z",
  "file_hash": "e916ce25aa208e0f4bf339174fee347f7b161e3b2d0ee5b4c747756b4ac16c42",
  "private": false,
  "record": {
    "abstract": "We study the extended hydrodynamics proposed by Philip Rosenau [Phys. Rev. A\n40, 7193 (1989)] in the context of a regularization of the Chapman-Enskog\nexpansion. We are able to prove that shock waves appear in finite time in\nRosenau\u0027s extended Burgers\u0027 equation, and we discuss the physical implications\nof this fact and its connection with a possible extension of hydrodynamics to\nthe short wavelength domain.",
    "arxiv_id": "physics/0412178",
    "authors": [
      "Carlos Escudero"
    ],
    "categories": [
      "physics.flu-dyn",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1103/PhysRevE.71.047302",
    "title": "Shock wave formation in Rosenau\u0027s extended hydrodynamics",
    "url": "https://arxiv.org/abs/physics/0412178"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4f85e5d4-2cf6-4d64-9628-e8060a6fb83e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}