{
  "annotation_id": "840479b4-f034-41cd-b554-a3a51b78b555",
  "date_created": "2026-03-02T18:00:39.535000Z",
  "date_modified": "2026-03-02T18:00:39.535000Z",
  "file_hash": "3fa27d68c4a1b8550e5720f0e606391b222b598eedb2b252bdc9b7c777da1078",
  "private": false,
  "record": {
    "abstract": "It is shown that the Euler hydrodynamics for vortical flows of an ideal fluid\ncoincides with the equations of motion of a charged {\\it compressible} fluid\nmoving due to a self-consistent electromagnetic field. Transition to the\nLagrangian description in a new hydrodynamics is equivalent for the original\nEuler equations to the mixed Lagrangian-Eulerian description - the vortex line\nrepresentation (VLR). Due to compressibility of a \"new\" fluid the collapse of\nvortex lines can happen as the result of breaking (or overturning) of vortex\nlines. It is found that the Navier-Stokes equation in the vortex line\nrepresentation can be reduced to the equation of the diffusive type for the\nCauchy invariant with the diffusion tensor given by the metric of the VLR.",
    "arxiv_id": "physics/0209047",
    "authors": [
      "E. A. Kuznetsov"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.ao-ph",
      "physics.plasm-ph"
    ],
    "doi": "10.1134/1.1525034",
    "journal_ref": "Pis\u0027ma v ZhETF (JETP Letters), 76, no 6 (2002)",
    "title": "Vortex line representation for flows of ideal and viscous fluids",
    "url": "https://arxiv.org/abs/physics/0209047"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8c49deac-a4c1-4975-9c3a-1f9894bd570a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}