{
  "annotation_id": "2be5674d-9d8b-48c9-9e49-765b4bc7c2ab",
  "date_created": "2026-03-02T18:01:06.809000Z",
  "date_modified": "2026-03-02T18:01:06.809000Z",
  "file_hash": "7bca150de7b3d12ba5762745445c0225200bed279b9f1a57da331212ac5c5495",
  "private": false,
  "record": {
    "abstract": "Let the interface between two immiscible fluids in a Hele-Shaw cell have, at\nt=0, a wedge shape. As a wedge is scale-free, the fluid relaxation dynamics are\nself-similar. We find the dynamic exponent of this self-similar flow and show\nthat the interface shape is given by the solution of an unusual inverse problem\nof potential theory. We solve this inverse problem analytically for an almost\nflat wedge, and numerically otherwise. The wedge solution is useful for\nanalysis of pinch-off singularities.",
    "arxiv_id": "physics/0605112",
    "authors": [
      "Omri Gat",
      "Baruch Meerson",
      "Arkady Vilenkin"
    ],
    "categories": [
      "physics.flu-dyn",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.73.065302",
    "title": "Self-similar relaxation dynamics of a fluid wedge in a Hele-Shaw cell",
    "url": "https://arxiv.org/abs/physics/0605112"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fe81c963-cce3-47c4-8d27-edc7ff3f47db",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}