{
  "annotation_id": "3b55fd1d-d862-4550-bf53-b6ef59b95dbb",
  "date_created": "2026-03-02T18:00:32.724000Z",
  "date_modified": "2026-03-02T18:00:32.724000Z",
  "file_hash": "f73d7e032c479b6fb47fa8929ef786fa1d5deff1460b788ea286594bb117a161",
  "private": false,
  "record": {
    "abstract": "In the limit of low viscosity, we show that the amplitude of the modes of\noscillation of a rotating fluid, namely inertial modes, concentrate along an\nattractor formed by a periodic orbit of characteristics of the underlying\nhyperbolic Poincar\\\u0027e equation. The dynamics of characteristics is used to\nelaborate a scenario for the asymptotic behaviour of the eigenmodes and\neigenspectrum in the physically relevant r\\\u0027egime of very low viscosities which\nare out of reach numerically. This problem offers a canonical ill-posed Cauchy\nproblem which has applications in other fields.",
    "arxiv_id": "physics/0011031",
    "authors": [
      "M. Rieutord",
      "B. Georgeot",
      "L. Valdettaro"
    ],
    "categories": [
      "physics.flu-dyn",
      "astro-ph",
      "cond-mat",
      "gr-qc",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevLett.85.4277",
    "journal_ref": "Phys.Rev.Lett.85:4277,2000",
    "title": "Waves attractors in rotating fluids: a paradigm for ill-posed Cauchy   problems",
    "url": "https://arxiv.org/abs/physics/0011031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a8344267-8363-4766-92eb-18323c78174f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}