{
  "annotation_id": "322c74ce-35c9-4922-bc61-d205cd8e7f0f",
  "date_created": "2026-03-02T18:01:03.550000Z",
  "date_modified": "2026-03-02T18:01:03.550000Z",
  "file_hash": "966b395917d4f88d85c3ff87e79374d330bf192a7e8b20d1b88cc9bcb6fd1213",
  "private": false,
  "record": {
    "abstract": "In this paper we study analytically the viscous `sabra\u0027 shell model of energy\nturbulent cascade. We prove the global regularity of solutions and show that\nthe shell model has finitely many asymptotic degrees of freedom, specifically:\na finite dimensional global attractor and globally invariant inertial\nmanifolds. Moreover, we establish the existence of exponentially decaying\nenergy dissipation range for the sufficiently smooth forcing.",
    "arxiv_id": "physics/0511075",
    "authors": [
      "Peter Constantin",
      "Boris Levant",
      "Edriss S. Titi"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1016/j.physd.2006.05.015",
    "title": "Analytic Study of Shell Models of Turbulence",
    "url": "https://arxiv.org/abs/physics/0511075"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "62ff60a9-3e53-4d09-af4b-62cb60c0b640",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}