{
  "annotation_id": "7318c2bc-bf9d-45e9-8d4b-c85b1c807313",
  "date_created": "2026-03-02T18:01:03.792000Z",
  "date_modified": "2026-03-02T18:01:03.792000Z",
  "file_hash": "93ab7b42e59e419d4b0250c06852ef53a590c136dd9aaf7254a512a3bc16d2c5",
  "private": false,
  "record": {
    "abstract": "Different approaches to the nonlinear dynamics of premixed flames exist in\nthe literature: equations based on developments in a gas ex- pansion parameter,\nweak nonlinearity approximation, potential model equation in a coordinate-free\nform. However the relation between these different equations is often unclear.\nStarting here with the low vor- ticity approximation proposed recently by one\nof the authors, we are able to recover from this formulation the dynamical\nequations usually obtained at the lowest orders in gas expansion for plane on\naverage flames, as well as obtain a new second order coordinate-free equation\nextending the potential flow model known as the Frankel equation. It is also\ncommon to modify gas expansion theories into phenomelogical equations, which\nagree quantitatively better with numerical simula- tions. We discuss here what\nare the restrictions imposed by the gas expansion development results on this\nprocess.",
    "arxiv_id": "physics/0511213",
    "authors": [
      "Bruno Denet",
      "Vitaly Bychkov"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "doi": "10.1080/00102200590956687",
    "journal_ref": "Combustion Science and Technology 177 (2005) 1543",
    "title": "Low vorticity and small gas expansion in premixed flames",
    "url": "https://arxiv.org/abs/physics/0511213"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "faf9e446-7dcc-495b-8034-089788e0b410",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}