DISTINCTION OF TURBULENCE FROM CHAOS – ROUGH DEPENDENCE ON INITIAL DATA

@inproceedings{YCHARLES2014DISTINCTIONOT,
  title={DISTINCTION OF TURBULENCE FROM CHAOS – ROUGH DEPENDENCE ON INITIAL DATA},
  author={LI Y.CHARLES},
  year={2014}
}
  • LI Y.CHARLES
  • Published 2014
This article presents a new theory on the nature of turbulence: when the Reynolds number is large, violent fully developed turbulence is due to “rough dependence on initial data” rather than chaos which is caused by “sensitive dependence on initial data”; when the Reynolds number is moderate, (often transient) turbulence is due to chaos. The key in the validation of the theory is estimating the temporal growth of the initial perturbations with the Reynolds number as a parameter. Analytically… CONTINUE READING

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