{
  "annotation_id": "bc6ac4b4-8df5-4f6a-969b-b7d5131d2103",
  "date_created": "2026-03-02T18:00:53.737000Z",
  "date_modified": "2026-03-02T18:00:53.737000Z",
  "file_hash": "6f79b320820df207b0a744d9638424c902fc6fef5dae91cd0c1cf99751926a02",
  "private": false,
  "record": {
    "abstract": "We investigate long time numerical simulations of the inviscid\nRayleigh-Taylor instability at Atwood number one using a boundary integral\nmethod. We are able to attain the asymptotic behavior for the spikes predicted\nby Clavin \u0026 Williams\\cite{clavin} for which we give a simplified demonstration.\nIn particular we observe that the spike\u0027s curvature evolves like $t^3$ while\nthe overshoot in acceleration shows a good agreement with the suggested $1/t^5$\nlaw. Moreover, we obtain consistent results for the prefactor coefficients of\nthe asymptotic laws. Eventually we exhibit the self-similar behavior of the\ninterface profile near the spike.",
    "arxiv_id": "physics/0412120",
    "authors": [
      "Laurent Duchemin",
      "Christophe Josserand",
      "Paul Clavin"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1103/PhysRevLett.94.224501",
    "title": "Asymptotic behaviour of the Rayleigh--Taylor instability",
    "url": "https://arxiv.org/abs/physics/0412120"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a30fd440-88d0-4bed-8f11-edb1d02ccd39",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}