{
  "annotation_id": "e60aca05-6a76-4282-9395-32cac14b8bcd",
  "date_created": "2026-03-02T18:00:53.566000Z",
  "date_modified": "2026-03-02T18:00:53.566000Z",
  "file_hash": "0f3ca65a8f978c6ec1be8cad6d80404f0543cc5d2b2cc7183f04dda7976c921d",
  "private": false,
  "record": {
    "abstract": "A new variational problem for upper bounds on the rate of energy dissipation\nin body-forced shear flows is formulated by including a balance parameter in\nthe derivation from the Navier-Stokes equations. The resulting min-max problem\nis investigated computationally, producing new estimates that quantitatively\nimprove previously obtained rigorous bounds. The results are compared with data\nfrom direct numerical simulations.",
    "arxiv_id": "physics/0409041",
    "authors": [
      "Nikola P. Petrov",
      "Lu Lu",
      "Charles R. Doering"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1080/14685240500228262",
    "title": "Variational bounds on the energy dissipation rate in body-forced shear   flow",
    "url": "https://arxiv.org/abs/physics/0409041"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "728d6e8b-e44b-42c3-9b32-2ac9109eca7e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}