{
  "annotation_id": "30553154-f2f7-4637-93e2-5270cbf69b81",
  "date_created": "2026-03-02T18:01:18.375000Z",
  "date_modified": "2026-03-02T18:01:18.375000Z",
  "file_hash": "cf6c0c3c90aa61c30a12ac2f12b115b003da43050765680fcbc8dac4fac297aa",
  "private": false,
  "record": {
    "abstract": "The classical theory of water waves is based on the theory of inviscid flows.\nHowever it is important to include viscous effects in some applications. Two\nmodels are proposed to add dissipative effects in the context of the Boussinesq\nequations, which include the effects of weak dispersion and nonlinearity in a\nshallow water framework. The dissipative Boussinesq equations are then\nintegrated numerically.",
    "arxiv_id": "physics/0703192",
    "authors": [
      "Denys Dutykh",
      "Fr\u00e9d\u00e9ric Dias"
    ],
    "categories": [
      "physics.class-ph",
      "math.AP",
      "nlin.SI",
      "physics.ao-ph"
    ],
    "doi": "10.1016/j.crme.2007.08.003",
    "journal_ref": "Comptes Rendus M\\\u0027ecanique (2007), Vol. 335, pp. 559-583",
    "title": "Dissipative Boussinesq equations",
    "url": "https://arxiv.org/abs/physics/0703192"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b5e922ef-bf7d-4e4f-bf56-c3ac04ed1f33",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}