{
  "annotation_id": "5bf4799c-cebb-4952-9e18-0b57bc014f50",
  "date_created": "2026-03-02T18:01:10.663000Z",
  "date_modified": "2026-03-02T18:01:10.663000Z",
  "file_hash": "b9895eaba62f74c627469296f087ef5636b51229360bd131f56a559aa92a9fb9",
  "private": false,
  "record": {
    "abstract": "The non linear description of laminar premixed flames has been very\nsuccessful, because of the existence of model equations describing the dynamics\nof these flames. The Michelson Sivashinsky equation is the most well known of\nthese equations, and has been used in different geometries, including\nthree-dimensional quasi-planar and spherical flames. Another interesting model,\nusually known as the Frankel equation,which could in principle take into\naccount large deviations of the flame front, has been used for the moment only\nfor two-dimensional expanding and Bunsen flames. We report here for the first\ntime numerical solutions of this equation for three-dimensional flames.",
    "arxiv_id": "physics/0607083",
    "authors": [
      "Bruno Denet"
    ],
    "categories": [
      "physics.class-ph",
      "nlin.PS"
    ],
    "doi": "10.1063/1.1652692",
    "journal_ref": "Physics of Fluids 16 (2004) 1149",
    "title": "Non-linear model equation for three-dimensional Bunsen flames",
    "url": "https://arxiv.org/abs/physics/0607083"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "768fc536-1eb3-4a4a-8391-47570ae3d13f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}