{
  "annotation_id": "9ee0c235-d78c-4fe9-9662-d04547be41d3",
  "date_created": "2026-03-02T18:00:36.436000Z",
  "date_modified": "2026-03-02T18:00:36.436000Z",
  "file_hash": "765e0942634793a41e7094feff359615d4a2ee6cd5ddc69fb7a7aa4b7036c14c",
  "private": false,
  "record": {
    "abstract": "We consider the viscous motion of a thin, axisymmetric column of fluid with a\nfree surface. A one-dimensional equation of motion for the velocity and the\nradius is derived from the Navier-Stokes equation. We compare with recent\nexperiments on the breakup of a liquid jet and on the bifurcation of a drop\nsuspended from an orifice. The equations form singularities as the fluid neck\nis pinching off. The nature of the singularities is investigated in detail.",
    "arxiv_id": "physics/0110081",
    "authors": [
      "Jens Eggers",
      "Todd F. Dupont"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1017/S0022112094000480",
    "journal_ref": "published in Journal of Fluid Mechanics vol. 262, pp. 205-221\n  (1994)",
    "title": "Drop Formation in a One-Dimensional Approximation of the Navier-Stokes   Equation",
    "url": "https://arxiv.org/abs/physics/0110081"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7ae8720e-3d50-428e-b264-26105696d3fb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}