{
  "annotation_id": "702e870c-898d-4dba-b825-ee2a56964699",
  "date_created": "2026-03-02T18:01:03.662000Z",
  "date_modified": "2026-03-02T18:01:03.662000Z",
  "file_hash": "c2811d144b2788eee7034784dff6b559087878400d61f279153eeac18306118d",
  "private": false,
  "record": {
    "abstract": "We consider stability of steady convective flows in a horizontal layer with\nstress-free boundaries, heated below and rotating about the vertical axis, in\nthe Boussinesq approximation (the Rayleigh-Benard convection). The flows under\nconsideration are convective rolls or square cells, the latter being\nasymptotically equal to the sum of two orthogonal rolls of the same wave number\nk. We assume, that the Rayleigh number R is close to the critical one, R_c(k),\nfor the onset of convective flows of this wave number: R=R_c(k)+epsilon^2; the\namplitude of the flows is of the order of epsilon. We show that the flows are\nalways unstable to perturbations, which are a sum of a large-scale mode not\ninvolving small scales, and two large-scale modes, modulated by the original\nrolls rotated by equal small angles in the opposite directions. The maximal\ngrowth rate of the instability is of the order of max(epsilon^{8/5},(k-k_c)^2),\nwhere k_c is the critical wave number for the onset of convection.",
    "arxiv_id": "physics/0601075",
    "authors": [
      "O. M. Podvigina"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1007/s10697-006-0104-1",
    "title": "Instability of small-amplitude convective flows in a rotating layer with   stress-free boundaries",
    "url": "https://arxiv.org/abs/physics/0601075"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2ab4c443-229b-4d42-ad72-9537933a590d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}