{
  "annotation_id": "381372f1-1781-4119-9733-85992b02238e",
  "date_created": "2026-03-02T18:00:29.223000Z",
  "date_modified": "2026-03-02T18:00:29.223000Z",
  "file_hash": "12e4d2de898a308e5be5f1d1668f65c7a04d5c0e997f36a97f6057d57c591d3d",
  "private": false,
  "record": {
    "abstract": "Rayleigh-B\\\u0027{e}nard convection in horizontal layers of binary fluid mixtures\nheated from below with realistic horizontal boundary conditions is studied\ntheoretically using multi-mode Galerkin expansions. For positive separation\nratios the main difference between the mixtures and pure fluids lies in the\nexistence of stable three dimensional patterns near onset in a wide range of\nthe parameter space. We evaluated the stationary solutions of roll, crossroll,\nand square convection and we determined the location of the stability\nboundaries for many parameter combinations thereby obtaining the Busse balloon\nfor roll and square patterns.",
    "arxiv_id": "patt-sol/9911005",
    "authors": [
      "B. Huke",
      "M. L\u00fccke",
      "P. B\u00fcchel",
      "Ch. Jung"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1017/S0022112099007648",
    "journal_ref": "J. Fluid Mech. 408, p. 121 (2000)",
    "title": "Stability boundaries of roll and square convection in binary fluid   mixtures with positive separation ratio",
    "url": "https://arxiv.org/abs/patt-sol/9911005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "07f9341a-5ed7-4226-99d8-fe266ea1c452",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}