Zaichun Feng, Y. Charles Li
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.
DOI: 10.58997/ejde.2020.104
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Zaichun Feng Department of Mechanical and Aerospace Engineering University of Missouri Columbia, MO 65211, USA email: fengf@missouri.edu |
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Y. Charles Li Department of Mathematics University of Missouri Columbia, MO 65211, USA email: liyan@missouri.edu, http://faculty.missouri.edu~liyan |
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