Mathematical study of the small oscillations of a floating body in a boundedtank containing an incompressible viscous liquid
Doretta Vivona, Pierre Capodanno · Discrete and Continuous Dynamical Systems - B · 2014
The authors study the small oscillations of a floating body in a boundedtank containing an incompressible viscous fluid. Using the variational formulation of the problem, they obtain an operator equation from which they can study the spectrum of the problem. The small motions are strongly and weakly damped aperiodic motions and, if the viscosity is sufficiently small, there is also at most finite number of damped oscillatory motions. The authors give also an existence and uniqueness theorem for the solution of the associated evolution problem.