{
  "annotation_id": "6e44e8bb-58d5-42bb-946f-6c8fca61d77a",
  "date_created": "2026-03-02T18:01:03.870000Z",
  "date_modified": "2026-03-02T18:01:03.870000Z",
  "file_hash": "fb402a69592a373bacd326e8ea2118f62f73f0f86b07db8ce9db1b6025fac789",
  "private": false,
  "record": {
    "abstract": "We investigate quasi-two-dimensional relaxation, by surface tension, of a\nlong straight stripe of inviscid fluid trapped inside a viscous fluid in a\nHele-Shaw cell. Combining analytical and numerical solutions, we describe the\nemergence of a self-similar dumbbell shape and find non-trivial dynamic\nexponents that characterize scaling behavior of the dumbbell dimensions.",
    "arxiv_id": "physics/0512242",
    "authors": [
      "Arkady Vilenkin",
      "Baruch Meerson",
      "Pavel V. Sasorov"
    ],
    "categories": [
      "physics.flu-dyn",
      "nlin.PS",
      "physics.comp-ph"
    ],
    "doi": "10.1103/PhysRevLett.96.044504",
    "title": "Scaling and self-similarity in an unforced flow of inviscid fluid   trapped inside a viscous fluid in a Hele-Shaw cell",
    "url": "https://arxiv.org/abs/physics/0512242"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "96735b77-3530-43c3-90c2-0d0c529faa96",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}