{
  "annotation_id": "5f571243-c1cb-4eb3-9855-6f36a11adb60",
  "date_created": "2026-03-02T18:00:53.228000Z",
  "date_modified": "2026-03-02T18:00:53.228000Z",
  "file_hash": "e78295a51faf3ebcb60a0ed9c8cff66c882fe87fbd1410e38a9fd67bfc67f80b",
  "private": false,
  "record": {
    "abstract": "The far field asymptotic of internal waves is constructed for the case when a\npoint source of mass moves in a layer of arbitrarily stratified fluid with\nslowly varying bottom. The solutions obtained describe the far field both near\nthe wave fronts of each individual mode and away from the wave fronts and are\nexpansions in Airy or Fresnel waves with the argument determined from the\nsolution of the corresponding eikonal equation. The amplitude of the wave field\nis determined from the energy conservation law along the ray tube. For model\ndistributions of the bottom shape and the stratification describing the typical\npattern of the ocean shelf exact analytic expressions are obtained for the\nrays, and the properties of the phase structure of the wave field are analyzed.",
    "arxiv_id": "physics/0411016",
    "authors": [
      "Vitaly V. Bulatov",
      "Yuriy V. Vladimirov",
      "Vasily A. Vakorin"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "title": "Internal Gravity Waves in a Stratified Fluid with Smoothly Varying   Bottom",
    "url": "https://arxiv.org/abs/physics/0411016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2d78c325-4cc0-4cd2-b227-cd3d7c51542b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}