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 systemsThe steady Navier-Stokes-Fourier systemBoussinesq equationsFluid-structure-acoustic interactions Fluids under Control will be a valuable resource for students interested in mathematical fluid mechanics.

Autorentext

TomáS Bodnár is Associate Professor in the Department of Technical Mathematics Faculty of Mechanical Engineering at the Czech Technical University in Prague, as well as a researcher at the Institute of Mathematics, Czech Academy of Sciences. Research interests include numerical analysis, computational fluid mechanics, environmental and biological flows.
Giovanni P. Galdi is Distinguished Professor in the Department of Mechanical Engineering and Materials Science of the Swanson School of Engineering at the University of Pittsburgh. His research interests are based around the mathematical fluid mechanics including the problems of flow stability and fluid-structure interaction problems. **
** sárka Necasová is head of the Department of Evolution Differential Equations at the Institute of Mathematics of the Czech Academy of Sciences. Her work and research interests cover qualitative aspects of theory of partial differential equations in mechanics and thermodynamics of continuum, in biology and in other sciences.

Inhalt
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.