Abstract

In this course, I will present a hierarchy of models to describe free surface flow. The main part of the course focuses on the derivation of the hierarchy of models from the incompressible free surface Euler equations, also called water waves equations, which serve as a reference model. The complexity of the reduced models increases, from the well-known Shallow Water model to the layerwise Green-Nahgdi equations. The main known properties of the models as well as the open questions will be presented.