Renormalization Group of the Inviscid Limit

Explore the intricacies of multi-scale dynamical systems and their connection to hydrodynamic turbulence in this 1-hour 22-minute seminar presented by Alexei Mailybaev from IMPA at Stony Brook University's Dynamics Seminar. Delve into the concept of ideal and regularized systems, focusing on the physically motivated selection process in the inviscid limit. Examine how this limit can be expressed through renormalization group (RG) dynamics, drawing parallels to the Feigenbaum–Cvitanovic functional relation. Investigate specific examples of fixed-point and chaotic attractors, and gain insights into the selected inviscid dynamics characterized by the RG attractor. This talk, based on joint work with Artem Raibekas, offers a deep dive into the mathematical foundations of turbulence and multi-scale systems.