{
  "annotation_id": "4eb13caf-8ddc-4926-9369-b82de1246c6f",
  "date_created": "2026-03-02T18:01:07.660000Z",
  "date_modified": "2026-03-02T18:01:07.660000Z",
  "file_hash": "219bb79ccac9282d419b3ab00dc0832c7335ff5b6bc1ba300c853a74849c89e5",
  "private": false,
  "record": {
    "abstract": "We consider finite-amplitude Kelvin waves on an inviscid vortex assuming that\nthe vortex core has infinitesimal thickness. By numerically solving the\ngoverning Biot-Savart equation of motion, we study how the frequency of the\nKelvin waves and the velocity of the perturbed ring depend on the Kelvin wave\namplitude. In particular, we show that, if the amplitude of the Kelvin waves is\nsufficiently large, the perturbed vortex ring moves backwards.",
    "arxiv_id": "physics/0604008",
    "authors": [
      "C. F. Barenghi",
      "R. H\u00e4nninen",
      "M. Tsubota"
    ],
    "categories": [
      "physics.flu-dyn",
      "cond-mat.soft"
    ],
    "doi": "10.1103/PhysRevE.74.046303",
    "journal_ref": "Phys. Rev. E 74, 046303 (2006)",
    "title": "Anomalous translational velocity of vortex ring with finite-amplitude   Kelvin waves",
    "url": "https://arxiv.org/abs/physics/0604008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7dd14113-bad6-40c6-be6d-19ae3ba416bb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}