{
  "annotation_id": "4814975a-5e8a-4ede-ad44-6fab2334d468",
  "date_created": "2026-03-02T18:01:00.143000Z",
  "date_modified": "2026-03-02T18:01:00.143000Z",
  "file_hash": "03db0c6b628f40d6cf90909fc90fa116d3a62aab40ccb2f2c3adb144cf6e3475",
  "private": false,
  "record": {
    "abstract": "We consider a zero-surface-tension two-dimensional Hele-Shaw flow in an\ninfinite wedge. There exists a self-similar interface evolution in this wedge,\nan analogue of the famous Saffman-Taylor finger in a channel, exact shape of\nwhich has been given by Kadanoff. One of the main features of this evolution is\nits infinite time of existence and stability for the Hadamard ill-posed\nproblem. We derive several exact solutions existing infinitely by generalizing\nand perturbing the one by Kadanoff.",
    "arxiv_id": "physics/0508039",
    "authors": [
      "Irina Markina",
      "Rodrigo Meneses",
      "Alexander Vasil\u0027ev"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "title": "Generalizations of Kadanoff\u0027s solution of the Saffman-Taylor problem in   a wedge",
    "url": "https://arxiv.org/abs/physics/0508039"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f12587ac-77a5-4b61-a7ed-7bfb0ae1349e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}