{
  "annotation_id": "fc229210-1023-46bc-8312-52e7e82ea739",
  "date_created": "2026-03-02T18:01:11.020000Z",
  "date_modified": "2026-03-02T18:01:11.020000Z",
  "file_hash": "578145a0cd4c8ca82b69d008108338999195a4f6fe1994900632a9d84d720861",
  "private": false,
  "record": {
    "abstract": "The principle of multiple solutions of the Navier-Stokes equations discussed\nin this paper is not directed at any particular problems in fluid dynamics, nor\nat any specific applications. The non-uniqueness principle states that the\nReynolds number, above its critical value, is insufficient to uniquely\ndetermine a flow field for a given geometry, or for similar geometries. It is a\ngeneric principle for all fluid flow and its transportation properties, but is\nnot well understood. It compliments the current popular bifurcation theories by\nthe fact that multiple solutions can exist on each stable bifurcation branch.",
    "arxiv_id": "physics/0609012",
    "authors": [
      "Lun-Shin Yao"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.comp-ph"
    ],
    "title": "Multiple Solutions in Fluid Mechanics",
    "url": "https://arxiv.org/abs/physics/0609012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6945d5ef-b4b0-40c0-b3cf-2171068b5156",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}