LAGRANGE DESCRIPTION OF ONE-DIMENSIONAL TURBULENCE

An approach is proposed for determining the spectral energy density of hydrodynamic turbulence, using the properties of two-dimensional vortex packet as a structural element of turbulence. The existence of three characteristic regularities E(k) is shown. For the long-range region the law E(k) infinity K2lambda1/2, involving the cluster structure of vortex, is found. For the scale-invariant and dissipative regions, the laws E(k) infinity k(Absolute value of beta) ln (k0/k) and E(k) infinity ln(k0/k) are obtained, respectively. The results of the theory are confirmed in the special experiment.