Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 104, pp. 1-21.

Title: Short term unpredictability of high Reynolds number turbulence -
       rough dependence on initial data
       
Authors: Zaichun Feng  (Univ. of Missouri, Columbia, MO, USA)
         Y. Charles Li (Univ. of Missouri, Columbia, MO, USA)

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.
 
Submitted January 5, 2020. Published October 12, 2020.
Math Subject Classifications: 76F02, 76F06, 76F20, 76F05, 76F30.
Key Words: Short term unpredictability; rough dependence on initial data;
           turbulence; chaos; sensitive dependence on initial data.