{
  "annotation_id": "78997a7a-fea9-4f6b-8afd-434869a881aa",
  "date_created": "2026-03-02T18:00:32.423000Z",
  "date_modified": "2026-03-02T18:00:32.423000Z",
  "file_hash": "69fea6908530b94bd2f0dc75910b40b3d3776b2f5b841712941033551389f7ff",
  "private": false,
  "record": {
    "abstract": "A statistical method for calculating equilibrium solutions of the shallow\nwater equations, a model of essentially 2-d fluid flow with a free surface, is\ndescribed. The model contains a competing acoustic turbulent {\\it direct}\nenergy cascade, and a 2-d turbulent {\\it inverse} energy cascade. It is shown,\nnonetheless that, just as in the corresponding theory of the inviscid Euler\nequation, the infinite number of conserved quantities constrain the flow\nsufficiently to produce nontrivial large-scale vortex structures which are\nsolutions to a set of explicitly derived coupled nonlinear partial differential\nequations.",
    "arxiv_id": "physics/0008236",
    "authors": [
      "Peter B. Weichman",
      "Dean M. Petrich"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.ao-ph"
    ],
    "doi": "10.1103/PhysRevLett.86.1761",
    "title": "Equilibrium solutions of the shallow water equations",
    "url": "https://arxiv.org/abs/physics/0008236"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2219285b-3caa-45ff-ac79-9193900866dc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}