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

An exact analytical solution to the one-dimensional compressible Euler equations in form of a nonlinear simple wave is obtained. In contrast well-known Riemann solution, resulting and time its collapse t 0 have an explicit dependence on initial conditions. For non-zero dissipation regularization over unlimited interval justified. Based this equations, closed description for any single- multi-point characteristics turbulence medium are obtained, Onsager's dissipative anomaly considered. The energy universal spectrum E ( k ) ? ? 8 / 3, corresponding ? shock arising, stated. That more relevant strong acoustic than 2. Installed, spectrum?8/3 also matched with observed magnetosheath solar wind. rate fluctuations D 2 3 obtained corresponds known observation data atmospheric surface layer.