Theodore D. Drivas (Stony Brook University),
Dennis Sullivan (Stony Brook University)
Turbulent flows are ubiquitous in the world around us; from trailing airplane wakes to swirling cream in our morning coffee. Despite its prevalence, basic mathematical questions about this complex non-linear phenomenon persist. This is, in part, because fluid motion involves many spatiotemporal scales that interact dynamically and often lead to singular or nearly singular behavior. The emergence and persistence of singularities can be thought of as mathematical avatars of many well-known phenomena in turbulence such as anomalous dissipation and the energy cascade, enhanced and chaotic mixing and the unpredictability of the Cauchy problem at high Reynolds numbers. As such, these phenomena provide an outstanding challenge for simulation and modelling of complex fluid systems. Especially those which aim to predict coarse-scale observables require new techniques and theoretical ideas to be developed. Toward understanding these issues, discussing recent and current progress, and outlining future directions is the intent of this program.
The program is accompanied by a workshop Small scale dynamics in fluid motion: June 13-24, 2022