Reynolds number dependence of Lyapunov exponents of turbulence and fluid particles.

  title={Reynolds number dependence of Lyapunov exponents of turbulence and fluid particles.},
  author={Itzhak Fouxon and Joshua Feinberg and Petri J. K{\"a}pyl{\"a} and Michael Mond},
  journal={Physical review. E},
  volume={103 3-1},
The Navier-Stokes equations generate an infinite set of generalized Lyapunov exponents defined by different ways of measuring the distance between exponentially diverging perturbed and unperturbed solutions. This set is demonstrated to be similar, yet different, from the generalized Lyapunov exponent that provides moments of distance between two fluid particles below the Kolmogorov scale. We derive rigorous upper bounds on dimensionless Lyapunov exponent of the fluid particles that demonstrate… 
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