2003/08/04 by Feng Wu, Wu, Feng
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Mathematical and Theoretical Analysis #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.physics/0308012
31 pages
openalex publication_date 2003/08/04 · arxiv created 2004/11/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The nonstandard picture of a turbulent field is presented in this article. By the concepts of nonstandard mathematics, the picture describes the hierarchical structure of turbulence and shows the mechanism of the fluctuation appearing in a turbulent field. The uncertainty of measurement is pointed out. And the fundamental equations of turbulence are given too. It is natural in this picture that the reasonable closure methods can be obtained and seem to be precise.