{
  "annotation_id": "1dcf0449-cb20-4d7e-b57f-9fdbd2d76f4b",
  "date_created": "2026-03-02T18:01:21.420000Z",
  "date_modified": "2026-03-02T18:01:21.420000Z",
  "file_hash": "ed8606da0a94f28742e77ea6b72a31c12568106cc8187690235a5855911a532c",
  "private": false,
  "record": {
    "abstract": "We present a simple viscous theory of free-surface flows in boundary layers,\nwhich can accommodate regions of separated flow. In particular this yields the\nstructure of stationary hydraulic jumps, both in their circular and linear\nversions, as well as structures moving with a constant speed. Finally we show\nhow the fundamental hydraulic concepts of subcritical and supercritical flow,\noriginating from inviscid theory, emerge at intermediate length scales in our\nmodel.",
    "arxiv_id": "physics/9708007",
    "authors": [
      "Tomas Bohr",
      "Vachtang Putkaradze",
      "Shinya Watanabe"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1103/PhysRevLett.79.1038",
    "title": "Averaging theory for the structure of hydraulic jumps and separation in   laminar free-surface flows",
    "url": "https://arxiv.org/abs/physics/9708007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "aad8d2e7-7b19-417e-9ee2-154b8fb0866e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}