This lecture covers the physical interpretation of turbulence as a collection of eddies, the estimation of dissipation scales, and the decay of turbulence controlled by large scales. It also discusses the selection of exponents, the principle of permanence of large eddies, and the eventual viscous decay. The lecture concludes with the restoration of symmetries in the Navier-Stokes equations at small scales and away from boundaries.
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Explores the restoration of symmetries in fluid dynamics equations, particularly the Navier-Stokes equations in periodic domains, highlighting the significance of symmetry in understanding fluid motion.
Explores turbulence theory, covering key hypotheses, challenges, and open questions in the field, including the famous analogy of turbulence research to an alpine expedition.