Anomalous Dissipation for Passive Scalars

Explore the concept of anomalous dissipation in hydrodynamic turbulence through the lens of passive scalars in this 25-minute lecture by Theodore Drivas from Princeton University. Delve into an example of a rough divergence-free velocity field that explicitly demonstrates anomalous dissipation for passive scalars, with the mechanism for scalar dissipation being a built-in direct energy cascade in the synthetic velocity field. Examine connections to the Obukhov–Corrsin monofractal theory of scalar turbulence and inviscid mixing. Learn about this joint work with T. Elgindi, G. Iyer, and I-J Jeong, presented as part of the Transport and Mixing in Complex and Turbulent Flows 2021 series at the Institute for Pure and Applied Mathematics, UCLA.