{
  "id": "physics/0411154",
  "version": "v1",
  "published": "2004-11-17T09:09:43.000Z",
  "updated": "2004-11-17T09:09:43.000Z",
  "title": "On the invariant formulation of fluid mechanics",
  "authors": [
    "S. Piekarski"
  ],
  "categories": [
    "physics.flu-dyn",
    "physics.gen-ph"
  ],
  "abstract": "It can be observed that the differential operators of fluid mechanics can be defined in terms of the complete derivative on the finite - dimensional affine space. It follows from the fact that all norms on the finite - dimensional vector space are equivalent and from the definition of the complete derivative on the normed affine spaces (see: L.Schwartz, Analyse Mathematique, Hermann, 1967). In particular, it is shown that the \"substantial derivative\" of the standard formulation is a directional derivative along the \"non - relativistic four - velocity\".",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-11-17T09:09:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fluid mechanics",
      "invariant formulation",
      "dimensional affine space",
      "dimensional vector space",
      "standard formulation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}