Kolmogorov Theory: Core Concepts

This lecture delves into the core concepts of Kolmogorov theory, focusing on the two key experimental facts about fully developed turbulence: the two-third law and the finite energy dissipation. The instructor explains how these observations are used as inputs to derive properties of turbulence, emphasizing the importance of understanding the logic of the derivation process. The lecture covers the restoration of symmetries, self-similar scaling, and finite energy dissipation hypotheses, leading to the derivation of Kolmogorov's fourth law. Through detailed explanations and examples, the instructor demonstrates how the third order structure function is linked to energy dissipation, culminating in a remarkable result known as Kolmogorov's fourth or fifth law.