{
  "id": "2209.01808",
  "version": "v1",
  "published": "2022-09-05T07:40:53.000Z",
  "updated": "2022-09-05T07:40:53.000Z",
  "title": "The evolution of turbulence theories and the need for continuous wavelets",
  "authors": [
    "Marie Farge"
  ],
  "comment": "77 pages; 21 figures; 2 photos",
  "categories": [
    "physics.flu-dyn",
    "cs.NA",
    "math.NA"
  ],
  "abstract": "In the first part of this article, I summarise two centuries of research on turbulence. I also critically discuss some of the interpretations that are still in use, as turbulence remains an inherently non-linear problem that is still unsolved to this day. In the second part, I tell the story of how Alex Grossmann introduced me to the continuous wavelet representation in 1983, and how he instantly convinced me that this is the tool I was looking for to study turbulence. In the third part, I present a selection of results I obtained in collaboration with several students and colleagues to represent, analyse and filter different turbulent flows using the continuous wavelet transform. I have chosen to present both these theories and results without the use of equations, in the hope that the reading of this article will be more enjoyable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-05T07:40:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "turbulence theories",
      "inherently non-linear problem",
      "second part",
      "first part",
      "continuous wavelet representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 77,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}