BCAM Severo Ochoa Course | Selected topics in the mathematical theory of incompressible fluids

The goal of the present course is to present two give an overview of recent advances in the mathematical study of models from incompressible fluid mechanics. We will focus on two main topics: on the one hand, mixing, inviscid damping and enhanced dissipation, and related phenomena based on transport by special vector fields; on the other hand, topics related to geophysical flows, with a special interest in dispersion and stabilisation effects due to (fast) rotation.