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Solvable Intermittent Shell Model of Turbulence

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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… Click to show full abstract

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.

Keywords: model turbulence; intermittent shell; shell model; turbulence; solvable intermittent

Journal Title: Communications in Mathematical Physics
Year Published: 2021

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