Internal Waves and Homeomorphism of the Circle

This lecture covers the mathematical model of internal waves in a fluid, focusing on the momentum equations, conservation of density, and wave evolution. It also delves into classical dynamics, eigenvalue equations, and the limiting absorption principle in the context of chess billiards. The instructor discusses previous mathematical work, singular profiles, and related dynamical systems issues, providing insights into the proof and open problems regarding the spectrum of rotation numbers and viscosity limits.