{
  "id": "1703.09698",
  "version": "v1",
  "published": "2017-03-28T04:41:21.000Z",
  "updated": "2017-03-28T04:41:21.000Z",
  "title": "On singular limit equations for incompressible fluids in moving thin domains",
  "authors": [
    "Tatsu-Hiko Miura"
  ],
  "comment": "32 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP",
    "physics.flu-dyn"
  ],
  "abstract": "We consider the incompressible Euler and Navier-Stokes equations in a three-dimensional moving thin domain. Under the assumption that the moving thin domain degenerates into a two-dimensional moving closed surface as the width of the thin domain goes to zero, we give a heuristic derivation of singular limit equations on the degenerate moving surface of the Euler and Navier-Stokes equations in the moving thin domain and investigate relations between their energy structures. We also compare the limit equations with the Euler and Navier-Stokes equations on a stationary manifold, which are described in terms of the Levi-Civita connection.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-28T04:41:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "35R01",
      "76M45",
      "76A20"
    ],
    "keywords": [
      "singular limit equations",
      "incompressible fluids",
      "navier-stokes equations",
      "moving thin domain degenerates",
      "three-dimensional moving thin domain"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}