# Mechanics of floating bodies

@article{Beig2021MechanicsOF,
title={Mechanics of floating bodies},
author={Robert Beig and Bernd Schmidt},
journal={Proceedings. Mathematical, Physical, and Engineering Sciences},
year={2021},
volume={477}
}
• Published 23 July 2021
• Mathematics
• Proceedings. Mathematical, Physical, and Engineering Sciences
We introduce and study the mechanical system which describes the dynamics and statics of rigid bodies of constant density floating in a calm incompressible fluid. Since much of the standard equilibrium theory, starting with Archimedes, allows bodies with vertices and edges, we assume the bodies to be convex and take care not to assume more regularity than that implied by convexity. One main result is the (Lyapunov) stability of equilibria satisfying a condition equivalent to the standard…

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