Introduction to the statistical theory of fully developed turbulence

by Prof. Angelo Vulpiani (Sapienza, University of Rome)

Thursday 24 Mar 2022, 15:00 → Friday 25 Mar 2022, 13:00 Europe/Rome

Abstract: 

Fully developed turbulence, i.e. the behavior of a fluid at very high Reynolds numbers, presents several unpleasant properties. We have to treat a system with:

• Many degrees of freedom
• Strong nonlinearities
• Non-Hamiltonian character
• Non-equilibrium features
• Non-Gaussian statistics

After a presentation of the difficulties found within a first-principle approach to turbulence and a short account of the main experimental results, I will discuss:

• Richardson and the self similarity
• Kolmogorov and scaling laws
• Anomalous scaling and multifractals
• Prediction of statistical features from the multifractal approach

Schedule:

Thursday  24th    15.00 - 17.00
Friday       25th    11.00 - 13.00