{
  "annotation_id": "a859e4bd-dd69-4e25-ba05-bcc2d1543011",
  "date_created": "2026-03-02T18:00:29.381000Z",
  "date_modified": "2026-03-02T18:00:29.381000Z",
  "file_hash": "3e81cf64991fe68b0d8edd3b75ec5d2d0afb3c9827d1f1f73c30f4ec44c44054",
  "private": false,
  "record": {
    "abstract": "Mean flow effects are discussed for two different pattern-forming systems:\nRayleigh-Benard convection and Faraday instability in viscous fluid. In both\nsystems spirals are observed in certain parameter regions. In the\nRayleigh-Benard convection, the spiral core instability and subsequent\ngeneration of up- and downflow hexagons are shown to occur due to the mean flow\ngenerated by the curved rolls near the core. In the Faraday instability, the\nmean flow which is generated by rapidly decaying surface waves near the wall,\ncauses wavenumber frustration which leads to a rigid-body spiral rotation. In\nboth cases we use phenomenological Swift-Hohenberg-type equations for the order\nparameter coupled to a large-scale mean flow. Numerical simulations are\ncompared to recently reported experimental results.",
    "arxiv_id": "patt-sol/9704006",
    "authors": [
      "Lev S. Tsimring"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1016/S0378-4371(97)00440-8",
    "title": "Spiral Dynamics in Pattern-Forming Systems: Mean Flow Effects",
    "url": "https://arxiv.org/abs/patt-sol/9704006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "07c1a7e0-e1db-4736-91d4-7f812c24a424",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}