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Paper detail

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

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.

preprint2020arXivOpen access
A. P. Zubarev
math.APmath-phmath.DSmath.MPphysics.flu-dyn
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A. P. Zubarev

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