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arXiv · 2006.05811

On $p$-adic cascade equations of hydrodynamic type in modeling fully developed turbulence

A. P. Zubarev
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Abstract

A $p$-adic hydrodynamic type equation with two integrals of motion is proposed. It can be considered as a model cascade equation for energy dissipation in fully developed turbulence. Some of special cases of the proposed equation are detailed and it is shown that for a specific choice of parametrs they have stationary solutions that correspond to the 2/3 Kolmogorov-Obukhov law. Possible further studies of the proposed model are discussed.

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A. P. Zubarev. 2020-06-08. On $p$-adic cascade equations of hydrodynamic type in modeling fully developed turbulence. https://arxiv.org/abs/2006.05811

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