{
  "annotation_id": "49e3255a-89e7-49c0-8d9c-b8f935f6dfc4",
  "date_created": "2026-03-02T18:00:35.805000Z",
  "date_modified": "2026-03-02T18:00:35.805000Z",
  "file_hash": "c99a321add77f3910f1fa1c69ea89e3b6623dd79c9ad1a9c663d8d779180ca5e",
  "private": false,
  "record": {
    "abstract": "Nonlinear non-stationary equation describing evolution of weakly curved\npremixed flames with arbitrary gas expansion, subject to the Landau-Darrieus\ninstability, is derived. The new equation respects all the conservation laws to\nbe satisfied across the flame front, as well as correctly takes into account\ninfluence of vorticity, generated in the flame, on the flame front structure\nand flame velocity. Analytical solutions of the derived equation are found.",
    "arxiv_id": "physics/0108057",
    "authors": [
      "Kirill A. Kazakov",
      "Michael A. Liberman"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.class-ph"
    ],
    "journal_ref": "Combust. Sci. Tech. 174 (2002) 157-179",
    "title": "Nonlinear Theory of Flame Front Instability",
    "url": "https://arxiv.org/abs/physics/0108057"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2cf3166f-e224-4e05-8a40-5c5c018d2238",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}