Understanding Turbulence

This lecture by the instructor Tobias Schneider introduces the concept of turbulence, explaining its chaotic nature and importance in various fields such as engineering, atmospheric science, and astrophysics. The lecture delves into the historical background of turbulence research, highlighting the challenges in understanding and modeling turbulent flows. Schneider discusses the fundamental equations governing fluid motion, particularly the Navier-Stokes equations, and emphasizes the unsolved nature of turbulence within classical physics. The lecture also outlines the course structure, focusing on theoretical aspects of turbulence, including Kolmogorov's turbulence theory, symmetries, conservation laws, and probabilistic descriptions. By the end, students are expected to gain a foundational understanding of turbulence that can be applied to practical problems and further research.