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math.AP2026
Analysis of a Model for a Floating Platform Coupled with a Flexible Beam
Vicente Ocqueteau
We provide a rigorous mathematical analysis of a coupled system consisting of a floating platform in a fluid of finite depth, clamped to a flexible Euler-Bernoulli beam. The supers…
math.AP2025
On an Initial Value Problem Describing the Small Oscillations of a Floating Cylinder
Vicente Ocqueteau, Marius Tucsnak
We study a coupled PDE-ODE system modeling the small oscillations of a floating cylinder interacting with small water waves. We consider the case when the floating body is an infin…