{
  "annotation_id": "bd9a77e7-6845-47a2-99cb-731a22dc512f",
  "date_created": "2026-03-02T18:00:29.354000Z",
  "date_modified": "2026-03-02T18:00:29.354000Z",
  "file_hash": "2992136aa1ce39179faba7b22834763ba42ca65367975fb85704d11736422baf",
  "private": false,
  "record": {
    "abstract": "Wavy film flow of incompressible Newtonian fluid down an inclined plane is\nconsidered. The question is posed as to the parametric conditions under which\nthe description of evolution can be approximately reduced for all time to a\nsingle evolution equation for the film thickness. An unconventional\nperturbation approach yields the most general evolution equation and least\nrestrictive conditions on its validity. The advantages of this equation for\nanalytical and numerical studies of 3D waves in inclined films are pointed out.",
    "arxiv_id": "patt-sol/9712005",
    "authors": [
      "Alexander L. Frenkel",
      "Keshavamurthy Indireshkumar"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "title": "Wavy film flows down an inclined plane. Part I: Perturbation theory and   general evolution equation for the film thickness",
    "url": "https://arxiv.org/abs/patt-sol/9712005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e5d23281-f3be-4be7-ad31-7ad37ad246d9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}