The book presents recent results and new trends in the theory of fluid mechanics. Each of the
four chapters focuses on a different problem in fluid flow accompanied by an overview of
available older results. The chapters are extended lecture notes from the ESSAM school
Mathematical Aspects of Fluid Flows held in Kácov (Czech Republic) in May June 2017.The
lectures were presented by Dominic Breit (Heriot-Watt University Edinburgh) Yann Brenier
(École Polytechnique Palaiseau) Pierre-Emmanuel Jabin (University of Maryland) and Christian
Rohde (Universität Stuttgart) and cover various aspects of mathematical fluid mechanics - from
Euler equations compressible Navier-Stokes equations and stochastic equations in fluid
mechanics to equations describing two-phase flow from the modeling and mathematical analysis
of equations to numerical methods. Although the chapters feature relatively recent results
they are presented in a form accessible to PhD students in the field of mathematical fluid
mechanics.
