{
  "annotation_id": "5d06fa00-29dd-4744-9b0c-1ca7e4318758",
  "date_created": "2026-03-02T18:00:43.149000Z",
  "date_modified": "2026-03-02T18:00:43.149000Z",
  "file_hash": "80e1d14ff191297493152255be281bdd8a502a8fcf8c473471c6e0c570da37ca",
  "private": false,
  "record": {
    "abstract": "A phenomenological turbulence model in which the energy spectrum obeys a\nnonlinear diffusion equation is presented. This equation respects the scaling\nproperties of the original Navier-Stokes equations and it has the Kolmogorov\n-5/3 cascade and the thermodynamic equilibrium spectra as exact steady state\nsolutions. The general steady state in this model contains a nonlinear mixture\nof the constant-flux and thermodynamic components. Such \"warm cascade\"\nsolutions describe the bottleneck phenomenon of spectrum stagnation near the\ndissipative scale. Self-similar solutions describing a finite-time formation of\nsteady cascades are analysed and found to exhibit nontrivial scaling behaviour.",
    "arxiv_id": "physics/0304044",
    "authors": [
      "Colm Connaughton",
      "Sergey Nazarenko"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "title": "A model differential equation for turbulence",
    "url": "https://arxiv.org/abs/physics/0304044"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "05482411-4300-499d-92ca-3ca9827b4205",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}