This volume brings together four contributions to mathematical fluid mechanics a classical but
still highly active research field. The contributions cover not only the classical
Navier-Stokes equations and Euler equations but also some simplified models and fluids
interacting with elastic walls. The questions addressed in the lectures range from the basic
problems of existence blow-up of weak and more regular solutions to modeling and aspects
related to numerical methods. This book covers recent advances in several important areas of
fluid mechanics. An output of the CIME Summer School Progress in mathematical fluid mechanics
held in Cetraro in 2019 it offers a collection of lecture notes prepared by T. Buckmaster
(Princeton) S. Canic (UCB) P. Constantin (Princeton) and A. Kiselev (Duke). These notes will
be a valuable asset for researchers and advanced graduate students in several aspects of
mathematicsl fluid mechanics.
