Explore compressible fluid equations and collective dynamics in this 57-minute seminar presented by Theodore D. Drivas from Stony Brook University. Delve into Navier-Stokes models with local dissipation and nonlocal models exhibiting flocking behavior. Learn about global regularity for viscous shallow water equations and singularity formation in slender axisymmetric fluid jets. Discover a continuation criterion for smooth solutions in non-local models and the use of entropy hierarchies to control solutions. Examine how weak solutions obeying entropy inequalities demonstrate flocking behavior. Gain insights into dissipative compressible fluid models, shallow water dynamics, drop formation in liquid columns, and the mathematical description of flocking through the Continuum Cucker-Smale model.