{
  "annotation_id": "7dea544d-d836-4147-b2bd-26a178249ee5",
  "date_created": "2026-03-02T18:00:29.446000Z",
  "date_modified": "2026-03-02T18:00:29.446000Z",
  "file_hash": "ac656e7446d0c5ca5366cd3d3b421a47c2c83c44e691a3fd10694124ef6c1860",
  "private": false,
  "record": {
    "abstract": "Benard-Marangoni convection in a system of two superimposed liquids is\ninvestigated theoretically. Extending previous studies the complete\nhydrodynamics of both layers is treated and buoyancy is consistently taken into\naccount. The planform selection problem between rolls, squares and hexagons is\ninvestigated by explicitly calculating the coefficients of an appropriate\namplitude equation from the parameters of the fluids. The results are compared\nwith recent experiments on two-layer systems in which squares at onset have\nbeen reported.",
    "arxiv_id": "patt-sol/9910002",
    "authors": [
      "A. Engel",
      "J. B. Swift"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.62.6540",
    "title": "Planform selection in two-layer Benard-Marangoni convection",
    "url": "https://arxiv.org/abs/patt-sol/9910002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8e19f4e3-7bdc-4f13-80b1-2daeb99bef61",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}