论文标题
湍流理论的演变和连续小波的需求
The evolution of turbulence theories and the need for continuous wavelets
论文作者
论文摘要
在本文的第一部分中，我总结了两个世纪的湍流研究。我还批判性地讨论了仍在使用的一些解释，因为湍流仍然是一个固有的非线性问题，至今仍未解决。在第二部分中，我讲述了亚历克斯·格罗斯曼（Alex Grossmann）如何向我介绍1983年连续的小波代表，以及他如何立即使我相信这是我想要研究湍流的工具。在第三部分中，我提供了与几个学生和同事合作获得的结果选择，以使用连续的小波变换来代表，分析和滤除不同的湍流。我选择在不使用方程式的情况下介绍这两个理论和结果，以期使本文阅读会更有趣。
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.
