Abstract
This chapter presents the statement and solution of some problems of stability of the motion of a rigid body with cavities partially or completely filled with an ideal or viscous fluid. These problems deal with the variables defining the motion of such body and with some quantities characterizing the motion of the fluid as a whole41. Stated in this way, the problem can be considered as determining the stability of motion of the system with respect to some variables42, but not with respect to all the variables that characterize the motion of a system having an infinite number of degrees of freedom. This problem can be solved by the Lyapunov methods for systems with a finite number of degrees of freedom.
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