Scaling Exponents of Strong Turbulence in the Eddy Viscosity Approximation

A dynamic equation for velocity structure functions $S_{n}(r) = <(u(x)-u(x'))^{n}>$ in strong turbulence is derived in the one-loop (eddy viscosity) approximation. This homogemeous differential equation yields scaling exponents $\xi_{n}$ in the relations $S_{n}(r)\propto r^{\xi_{n}}$ which are in a very good agreement with experimental data.