{
  "annotation_id": "d26a8727-800a-494f-baf2-b480993d2361",
  "date_created": "2026-03-02T18:00:53.225000Z",
  "date_modified": "2026-03-02T18:00:53.225000Z",
  "file_hash": "96ac6dcbbec6e934edf91e334f887b1f27caece6b7e95d29ea28655ecf5054b6",
  "private": false,
  "record": {
    "abstract": "Two-dimensional potential flows of an ideal fluid with a free surface are\nconsidered in situations when shape of the bottom depends on time due to\nexternal reasons. Exact nonlinear equations describing surface waves in terms\nof the so called conformal variables are derived for an arbitrary time-evolving\nbottom parameterized by an analytical function. An efficient numerical method\nfor the obtained equations is suggested.",
    "arxiv_id": "physics/0411011",
    "authors": [
      "V. P. Ruban"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.ao-ph"
    ],
    "doi": "10.1016/j.physleta.2005.03.073",
    "title": "Water waves over a time-dependent bottom: Exact description for 2D   potential flows",
    "url": "https://arxiv.org/abs/physics/0411011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5c8f788f-3152-4347-8ed8-06b77ca040b7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}