ANOMALOUS SCALING IN KOLMOGOROV-1941 TURBULENCE

We show that the Kolmogorov-1941 picture of fully developed hydrodynam ic turbulence (with the scaling of the structure functions S(n)(R) inf inity R(n/3) necessarily leads to an anomalous scaling for correlation functions which include the rate of energy dissipation epsilon(t,r), these correlation functions being described by an independent index. T he mechanism for anomalous scaling, suggested on the basis of the Navi er-Stokes equation, is the multi-step interaction of eddies from the i nertial interval with eddies at the viscous scale via a set of eddies of intermediate scales.