{
  "annotation_id": "ffe4d9cf-c3e5-4844-b36b-ea40ab9d0d9c",
  "date_created": "2026-03-02T18:01:07.361000Z",
  "date_modified": "2026-03-02T18:01:07.361000Z",
  "file_hash": "a870289fd8e2a49a27fce6fb59bd3229bbc88d602e8e6afe5ea5b89a18c5729b",
  "private": false,
  "record": {
    "abstract": "New stationary solutions of the (Michelson) Sivashinsky equation of premixed\nflames are obtained numerically in this paper. Some of these solutions, of the\nbicoalescent type recently described by Guidi and Marchetti, are stable with\nNeumann boundary conditions. With these boundary conditions, the time evolution\nof the Sivashinsky equation in the presence of a moderate white noise is\ncontrolled by jumps between stationary solutions.",
    "arxiv_id": "physics/0604120",
    "authors": [
      "Bruno Denet"
    ],
    "categories": [
      "physics.class-ph",
      "nlin.PS",
      "nlin.SI"
    ],
    "doi": "10.1103/PhysRevE.74.036303",
    "journal_ref": "Physical Review E 74 (2006) 036303",
    "title": "Stationary solutions and Neumann boundary conditions in the Sivashinsky   equation",
    "url": "https://arxiv.org/abs/physics/0604120"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4b522263-bdc4-4bbc-a7b7-1e76694fde6e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}