{
  "annotation_id": "1ba9d24b-26bf-4491-abb7-6cbaff5d72f9",
  "date_created": "2026-03-02T18:00:29.166000Z",
  "date_modified": "2026-03-02T18:00:29.166000Z",
  "file_hash": "51ee1c0b59260b0133a76f8d927d4f5803cae0f617abdf1e241ed01a082b4816",
  "private": false,
  "record": {
    "abstract": "By using the long-wave approximation, a system of coupled evolution equations\nfor the bulk velocity and the surface perturbations of a B\\\u0027enard-Marangoni\nsystem is obtained. It includes nonlinearity, dispersion and dissipation, and\nit can be interpreted as a dissipative generalization of the usual Boussinesq\nsystem of equations. As a particular case, a strictly dissipative version of\nthe Boussinesq system is obtained. Finnaly, some speculations are made on the\nnature of the physical phenomena described by this system of equations.",
    "arxiv_id": "patt-sol/9306002",
    "authors": [
      "R. A. Kraenkel",
      "S. M. Kurcbart",
      "J. G. Pereira",
      "M. A. Manna"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.49.1759",
    "title": "Dissipative Boussinesq System of Equations in the B\\\u0027enard-Marangoni   Phenomenon",
    "url": "https://arxiv.org/abs/patt-sol/9306002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3b874103-bed5-4c89-a77e-29d0f1e5bef4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}