Short term unpredictability of high Reynolds number turbulence --- rough dependence on initial data
Fluid Dynamics
2019-06-28 v2 Analysis of PDEs
Chaotic Dynamics
Atmospheric and Oceanic Physics
Abstract
Short term unpredictability is discovered numerically for high Reynolds number fluid flows under periodic boundary conditions. Furthermore, the abundance of the short term unpredictability is also discovered. These discoveries support our theory that fully developed turbulence is constantly driven by such short term unpredictability.
Keywords
Cite
@article{arxiv.1702.02993,
title = {Short term unpredictability of high Reynolds number turbulence --- rough dependence on initial data},
author = {Z. C. Feng and Y. Charles Li},
journal= {arXiv preprint arXiv:1702.02993},
year = {2019}
}