This volume brings together five contributions to mathematical fluid mechanics a classical but
still very active research field which overlaps with physics and engineering. The contributions
cover not only the classical Navier-Stokes equations for an incompressible Newtonian fluid but
also generalized Newtonian fluids fluids interacting with particles and with solids and
stochastic models. The questions addressed in the lectures range from the basic problems of
existence of weak and more regular solutions the local regularity theory and analysis of
potential singularities qualitative and quantitative results about the behavior in special
cases asymptotic behavior statistical properties and ergodicity.
