{
  "annotation_id": "761b72f1-a251-406e-a95b-aa81b7460c0c",
  "date_created": "2026-03-02T18:01:07.825000Z",
  "date_modified": "2026-03-02T18:01:07.825000Z",
  "file_hash": "5480a19dc03f7fb04ef98593ebfa932287577f3ed2496401f895f65e507e9d8e",
  "private": false,
  "record": {
    "abstract": "In a two-dimensional model of the planetary atmosphere the compressible\nconvective flow of vorticity represents a strong nonlinearity able to drive the\nfluid toward a quasi-coherent vortical pattern. This is similar to the highly\norganised motion generated at relaxation in ideal Euler fluids. The problem of\nthe atmosphere is however fundamentally different since now there is an\nintrinsic length, the Rossby radius. Within the Charney Hasegawa Mima model it\nhas been derived a differential equation governing the stationary,\ntwo-dimensional, highly organised vortical flows in the planetary atmosphere.\nWe present results of a numerical study of this differential equation. The most\ncharacteristic solution shows a strong similarity with the morphology of a\ntropical cyclone. Quantitative comparisons are also favorable and several\nrelationships can be derived connecting the characteristic physical parameters\nof the tropical cyclone: the radius of the eye-wall, the maximum azimuthal\nvelocity and the radial extension of the vortex.",
    "arxiv_id": "physics/0604059",
    "authors": [
      "Florin Spineanu",
      "Madalina Vlad"
    ],
    "categories": [
      "physics.ao-ph",
      "physics.flu-dyn"
    ],
    "title": "Scaling laws for the tropical cyclone derived from the stationary   atmospheric vortex equation",
    "url": "https://arxiv.org/abs/physics/0604059"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d235af95-7c12-43ae-adc5-2ff31244eb8d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}