paper

Exact solution to the main turbulence problem for a compressible medium and the universal -8/3 turbulence spectrum of breaking waves

arXiv:2103.03084 · doi:10.1063/5.0056291

Abstract

An explicit analitical description of the compressible turbulence, based on the exact solution of the one-dimensional Euler equations in the unbounded case is obtained. The Onsager dissipative anomaly is resolved. The exact universal -8/3 energy spectrum corresponding to the finite time collapse of Euler's solution is stated. That spectrum is relevant to strong acoustic turbulence and observation in the space turbulence.

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