Generation and Evolution of Singularities in Hydrodynamic Models of Wave Propagation

Interesting phenomena in fluid dynamics, both from a mathematical and a physical perspective, often stem from the interplay between fluids and their boundaries. Singularities can form in finite time when material surfaces are in smooth contact with boundaries of a fluid under gravity, and, conversely, certain regularity can be regained in the course of the evolution. These effects can be analytically and numerically predicted by simple mathematical models and observed in “simple” experimental setups.