{
  "annotation_id": "2834f6d8-23af-4aff-9d87-e9ac3a85b283",
  "date_created": "2026-03-02T18:02:48.369000Z",
  "date_modified": "2026-03-02T18:02:48.369000Z",
  "file_hash": "0a181bc4d8b7f37cf25b624d3baf3a2bc6794e6200bc46150e3bbd9e1b568ef1",
  "private": false,
  "record": {
    "abstract": "The vector Burgers equation is extended to include pressure gradients and\ngravity. It is shown that within the framework of the Cole-Hopf transformation\nthere are no physical solutions to this problem. This result is important\nbecause it clearly demonstrates that any extension of Burgers equation to more\ninteresting physical situations is strongly limited.",
    "arxiv_id": "solv-int/9411005",
    "authors": [
      "Steven Nerney",
      "Edward J. Schmahl",
      "Z. E. Musielak"
    ],
    "categories": [
      "solv-int",
      "astro-ph",
      "chao-dyn",
      "comp-gas",
      "nlin.CD",
      "nlin.CG",
      "nlin.SI"
    ],
    "title": "Limits to Extensions of Burgers Equation",
    "url": "https://arxiv.org/abs/solv-int/9411005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "df7184e0-a621-4164-bf4b-aab28cf725ad",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}