Fluids Under Control

This volume presents state-of-the-art developments in theoretical and applied fluid mechanics. Chapters are based on lectures given at a workshop in the summer school Fluids under Control, held in Prague on August 25, 2021. Readers will find a thorough analysis of current research topics, presented by leading experts in their respective fields. Specific topics covered include:

• Magnetohydrodynamic systems
• The steady Navier-Stokes-Fourier system
• Boussinesq equations
• Fluid-structure-acoustic interactions

Fluids under Control will be a valuable resource for students interested in mathematical fluid mechanics.

On the weak and variational entropy solutions for the steady Navier-Stokes-Fourier system with Dirichlet boundary condition for the temperature. - Stability estimates for a viscous incompressible flow past a rigid body with time-dependent motion. - Existence and regularity of a magnetohydrodynamic system with Navier-type boundary conditions in 2-D. - On asymptotic stability of Boussinesq equations. - Controllability of one dimensional Burgers-particle interaction model. - Optimal control for two-dimensional Navier-Stokes equations with slippage. - Asymptotic behavior of the Navier-Stokes type problem. - On an approach to the global well-posedness of quasilinear parabolic- hyperbolic coupled system in unbounded domains.