5 papers
On the Motion of a Body with a Cavity Filled with Magnetohydrodynamic Fluid
Bingkang Huang, Václav Mácha, Šárka Nečasová
We study the dynamics of a coupled system, formed by a rigid body with a cavity entirely filled with magnetohydrodynamic compressible fluid. Our aim is to derive the global existen…
On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams
Ondřej Kreml, Václav Mácha, Šárka Nečasová +1
In this paper, we study a nonlinear fluid-structure interaction problem between a viscoelastic beam and a compressible viscous fluid. The beam is immersed in the fluid which fills…
Analysis of a system modelling the interaction between the motion of a spring and a viscous gas
Sabrine Chebbi, Václav Mácha, Šárka Nečasová
We are concerned with a one dimensional flow of a compressible fluid which may be seen as a simplification of the flow of fluid in a long thin pipe. We assume that the pipe is on o…
On the Motion of a Pendulum with a Cavity Filled with a Compressible Fluid
Giovanni Paolo Galdi, Václav Mácha, Šárka Nečasová +1
We study the motion of the coupled system, , constituted by a physical pendulum, , with an interior cavity entirely filled with a viscous, compressible flui…
Relative energy inequality and weak-strong uniqueness]{Relative energy inequality and weak-strong uniqueness for an isothermal non-Newtonian compressible fluid
Richard Andrášik, Václav Mácha, Rostislav Vodák
Our paper deals with three-dimensional nonsteady Navier-Stokes equations for non-Newtonian compressible fluids. It contains a~derivation of the relative energy inequality for the w…