{
  "annotation_id": "f03bee6d-7ed9-46eb-96ab-22bec23d02e4",
  "date_created": "2026-03-02T18:01:14.876000Z",
  "date_modified": "2026-03-02T18:01:14.876000Z",
  "file_hash": "2007e95bbe6a6ee5ac0b40fcc33901400291626b5efdcd80f4c97ce0b0c095f7",
  "private": false,
  "record": {
    "abstract": "In this article, we present a bifurcation and stability analysis on the\ndouble-diffusive convection. The main objective is to study 1) the mechanism of\nthe saddle-node bifurcation and hysteresis for the problem, 2) the formation,\nstability and transitions of the typical convection structures, and 3) the\nstability of solutions. It is proved in particular that there are two different\ntypes of transitions: continuous and jump, which are determined explicitly\nusing some physical relevant nondimensional parameters. It is also proved that\nthe jump transition always leads to the existence of a saddle-node bifurcation\nand hysteresis phenomena.",
    "arxiv_id": "physics/0611111",
    "authors": [
      "Chun-Hsiung Hsia",
      "Tian Ma",
      "Shouhong Wang"
    ],
    "categories": [
      "physics.ao-ph",
      "physics.flu-dyn"
    ],
    "journal_ref": "Comm Pure and Appl Anal., 7:1(2008), 23-48",
    "title": "Bifurcation and Stability of Two-Dimensional Double-Diffusive Convection",
    "url": "https://arxiv.org/abs/physics/0611111"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8579af96-e969-44e0-9aaf-91f1ca2590fc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}