Full Description
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.
Contents
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.
