{
  "annotation_id": "1ef3a0b3-5c0b-40b3-b655-a6481892e9df",
  "date_created": "2026-03-02T18:00:39.115000Z",
  "date_modified": "2026-03-02T18:00:39.115000Z",
  "file_hash": "3ac029e784cbca231d0c033dc13c2e8d70d1a95dd3077b452dfb64d335a45e59",
  "private": false,
  "record": {
    "abstract": "The problem of non-perturbative description of stationary flames with\narbitrary gas expansion is considered. A general method for deriving equations\nfor the flame front position is developed. On the basis of the Thomson\ncirculation theorem an implicit integral of the flow equations is constructed.\nWith the help of this integral the flow structure near the flame front is\ndetermined, and a closed system of equations for the flame front position and a\nset of auxiliary quantities is obtained. This system is shown to be\nquasi-local, and its transverse representation is found. This representation\nallows reduction of the system to a single equation for the flame front\nposition. The developed approach is applied to the case of zero-thickness\nflames.",
    "arxiv_id": "physics/0207034",
    "authors": [
      "Kirill A. Kazakov"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.gen-ph"
    ],
    "title": "Closed Description of Stationary Flames",
    "url": "https://arxiv.org/abs/physics/0207034"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fde7017b-4149-4a88-b414-6e17a5fdc309",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}