{
  "annotation_id": "b9c7c066-f7a8-4241-ad1e-981ce8e4ed50",
  "date_created": "2026-03-02T18:00:50.254000Z",
  "date_modified": "2026-03-02T18:00:50.254000Z",
  "file_hash": "5b7a497b07760b82d01048040827d4d2e981dfee4ab9d1918d4a0e0788c1f531",
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  "record": {
    "abstract": "It is shown that dynamics of the interface between ideal fluid and light\nviscous fluid is exactly integrable in the approximation of small surface\nslopes for two-dimensional flow. Stokes flow of viscous fluid provides a\nrelation between normal velocity and pressure at interface. Surface elevation\nand velocity potential of ideal fluid are determined from two complex Burgers\nequations corresponding to analytical continuation of velocity potential at the\ninterface into upper and lower complex half planes, respectively. The interface\nloses its smoothness if complex singularities (poles) reach the interface.",
    "arxiv_id": "physics/0407041",
    "authors": [
      "Pavel M. Lushnikov"
    ],
    "categories": [
      "physics.flu-dyn",
      "nlin.PS",
      "nlin.SI"
    ],
    "doi": "10.1016/j.physleta.2004.06.073",
    "journal_ref": "Physics Letters A, v.329, pp.49-54 (2004).",
    "title": "Exactly Integrable Dynamics of Interface between Ideal Fluid and Light   Viscous Fluid",
    "url": "https://arxiv.org/abs/physics/0407041"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0579f35d-cc87-4a46-8e40-9f6e6ca6c5e8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}