{
  "annotation_id": "fa895978-1cd8-4a83-86b9-1592c40c9532",
  "date_created": "2026-03-02T18:00:29.223000Z",
  "date_modified": "2026-03-02T18:00:29.223000Z",
  "file_hash": "9aa48bc453af5be771413784b74f4ab93f24bb00abb586925f86136784036b50",
  "private": false,
  "record": {
    "abstract": "The statistics of wrinkling flame front is invetigated by the quantum filed\ntheory methods. We dwell on the WKB approximation in the functional integral\nwhich is analogous to the Wyld functional integral in turbulence. The main\ncontribution to statistics is due to a coupled field-force configuration. This\nconfiguration is related to a kink between metastable exact pole solutions of\nthe Syvashinsky equation. These kinks are responsible for both the formation of\nnew cusps and the rapid power-law acceleration of the mean flame-front. The\nproblem of asymptotic stability of the solutions is discussed.",
    "arxiv_id": "patt-sol/9911002",
    "authors": [
      "Dmitri Volchenkov",
      "Ricardo Lima"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "title": "Instanton solutions in the problem of wrinkled flame front dynamics",
    "url": "https://arxiv.org/abs/patt-sol/9911002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c09331b8-5e39-420e-8b6d-2a987744f38f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}