Summary
The partial differential equations (PDE) of fluids describe the dynamics of vortices, which appear across a wide range of fluid flows and play an important role in turbulence. Trailing vortices behind aircraft and vortex rings provide familiar examples. One goal of the project is to better understand the behavior of vortices from a mathematical perspective. Another is to study the “typical behavior” of solutions of the basic equations. For example, why are certain scenarios, such as singularity formation, not observed, while we are unable to rule them out mathematically? Are we missing importa
