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On the free rotations of rigid bodies with a liquid-filled gap
Giusy Mazzone
We consider the system constituted by a hollow rigid body whose cavity contains a homogeneous rigid ball, and let the gap between the solids be entirely filled by a viscous incompr…
On the motion of a fluid-filled rigid body with Navier Boundary conditions
Giusy Mazzone, Jan Pruess, Gieri Simonett
We consider the inertial motion of a system constituted by a rigid body with an interior cavity entirely filled with a viscous incompressible fluid. Navier boundary conditions are…
A maximal regularity approach to the study of motion of a rigid body with a fluid-filled cavity
Giusy Mazzone, Jan Pruess, Gieri Simonett
We consider the inertial motion of a rigid body with an interior cavity that is completely filled with a viscous incompressible fluid. The equilibria of the system are characterize…
Stability and Long-Time Behavior of a Pendulum with an Interior Cavity Filled with a Viscous Liquid
Giovanni P. Galdi, Giusy Mazzone
We show asymptotic, exponential stability of the equilibrium configuration, $\smallL$, of a hollow physical pendulum with its inner part entirely filled with a viscous liquid, corr…