Kinetic and related models with applications in the natural sciences

ENERGY TRANSFER AND ENERGY DISSIPATION IN TURBULENT FLOWS

Luca Biferale

University of Roma Tor Vergata

Turbulence is everywhere on the earth as it is in the sky. I will present a guided tour across some of the most important open questions concerning the role played by turbulence in modern fluid dynamics. I will address fundamental theoretical questions connected to the existence of -infinitely many- anomalous scaling exponents and applied ones, related to the formation of coherent energy-containing structures in atmospheric flows. The aim is to highlight what we do not know and what are the main mathematical, phenomenological, numerical and experimental obstacles that still make turbulence an ‘unsolved’ problem of paradigmatic importance in, e.g., out-of-equilibrium statistical mechanics, mechanical engineer and atmospheric physics.