Abstract
The starting point lies in the results obtained by Sedov (1944) for isotropic turbulence with a self-preserving hypothesis. A careful consideration of the mathematical structure of the Karman–Howarth equation leads to an exact analysis of all cases possible and to all admissible solutions of the problem. I study this interesting problem from a new point of view. New solutions are obtained. Based on these exact solutions, some physical significant consequences of recent advances in the theory of self-preserved homogeneous statistical solution of the Navier–Stokes equations are presented.
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