{
  "annotation_id": "631392e4-f65b-4ed5-8c3c-91e81fb5ddb3",
  "date_created": "2026-03-02T18:00:28.674000Z",
  "date_modified": "2026-03-02T18:00:28.674000Z",
  "file_hash": "5c9fcb7f4c8ff062f15bdf1eccda96ec2a0ac9dc82e5cbd81a05cce25046eae5",
  "private": false,
  "record": {
    "abstract": "We consider longwave mode of the interface instability in the system\ncomprising of two immiscible fluid layers. The fluids fill out plane horizontal\ncavity which is subjected to horizontal harmonic vibration. The analysis is\nperformed within the framework of \"high frequency of the vibration\"\napproximation and the averaging procedure. The nonlinear equation (having the\nform of Newton\u0027s second law) for the amplitude of interface deformation is\nobtained by means of multiple scales method. It is shown that (in addition to\npreviously detected quasistationary periodic solutions) the equation has a\nclass of quasistationary solitary solutions.",
    "arxiv_id": "patt-sol/9908005",
    "authors": [
      "Mikhail V. Khenner",
      "Dmitrii V. Lyubimov"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS",
      "physics.flu-dyn"
    ],
    "journal_ref": "\"Hydrodynamika\", Perm, 1998, pp. 191 - 196 (in russian)",
    "title": "Longwave Interface Instability In Two-Fluid Vibrational Flow",
    "url": "https://arxiv.org/abs/patt-sol/9908005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "209f3c8b-e204-4468-8e39-2f7896d4638f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}