{
  "annotation_id": "ec98a5cf-ea68-49ff-a9fe-033ea61ff53b",
  "date_created": "2026-03-02T18:01:03.039000Z",
  "date_modified": "2026-03-02T18:01:03.039000Z",
  "file_hash": "71b19e3728513739c843a90bdd7e847c824315e43f467bdeb4b07dd7e9c31d39",
  "private": false,
  "record": {
    "abstract": "The Rayleigh-Taylor instability plays an important role in the dynamics of\nseveral astronomical objects, in particular, in supernovae (SN) evolution. In\nthis paper we develop an analytical approach to study the stability analysis of\nspherical expansion of the SN ejecta by using a special transformation in the\nco-moving coordinate frame. We first study a non-stationary spherical expansion\nof a gas shell under the pressure of a central source. Then we analyze its\nstability with respect to a no radial, non spherically symmetric perturbation\nof the of the shell. We consider the case where the polytropic constant of the\nSN shell is $\\gamma=5/3$ and we examine the evolution of a arbitrary shell\nperturbation. The dispersion relation is derived. The growth rate of the\nperturbation is found and its temporal and spatial evolution is discussed. The\nstability domain depends on the ejecta shell thickness, its acceleration, and\nthe perturbation wavelength.",
    "arxiv_id": "physics/0510023",
    "authors": [
      "Xavier Ribeyre",
      "Ludovic Hallo",
      "Vladimir Tikhonchuk",
      "Serge Bouquet",
      "Javier Sanz"
    ],
    "categories": [
      "physics.plasm-ph",
      "astro-ph",
      "physics.class-ph"
    ],
    "doi": "10.1007/s10509-006-9263-0",
    "journal_ref": "Astrophys.SpaceSci.307:169-172,2007",
    "title": "Non-stationary Rayleigh-Taylor instability in supernovae ejecta",
    "url": "https://arxiv.org/abs/physics/0510023"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "babc3c35-b5aa-42b7-825a-0ffb50e4c9c2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}