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Large volume limit of the distribution of characteristic exponents in turbulence. (English) Zbl 0546.76083
The author considers a turbulent viscous flow and obtains rigorous upper bounds on the distribution of characteristic exponents in terms of dissipation. Despite the phenomenon of intermittancy for such flows, the bounds have a good large volume behavior as a characteristic exponent density should exist for spatially extended conservation or dissipative physical system.
For two-dimensional fluids the result shows that the total information creation is bounded above by a fixed multiple of the total energy dissipation at fixed viscosity.
For an intermittent model of turbulence the distribution of the characteristic exponents is estimated. A change in behavior is found to occur at the value of 2.6 of the self-similarity dimension.
Reviewer: S.Carmi

MSC:
76F99 Turbulence
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