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Session S37 - New Developments in Mathematical Fluid Dynamics

Friday, July 16, 15:00 ~ 15:25 UTC-3

Solvable intermittent shell model of turbulence

Alexei A. Mailybaev

IMPA, Brazil   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We introduce a shell model of turbulence featuring intermittent behaviour with anomalous power-law scaling of structure functions. This model is solved analytically with the explicit derivation of anomalous exponents. The solution associates the intermittency with the hidden symmetry for Kolmogorov multipliers, making our approach relevant for real turbulence.

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