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MiS Preprint

Floating and partly immersed balls in a weightless environment

Robert Finn


It is shown that a ball floating in symmetric capillary equilibrium in an infinite liquid bath in the absence of gravity cannot symmetrically be pushed deeper into the liquid. This phenomenon is discussed from the point of view of approximation of the infinite bath by cylindrical tanks of increasing radius. A singular perturbation appears in the limit of infinite radius, of a sort that seems not easy to reconcile with physical experience.

MSC Codes:
76D45, 53A10

Related publications

2005 Journal Open Access
Robert Finn

Floating and partly immersed balls in a weightless environment

In: Functional differential equations, 12 (2005) 1-2, pp. 167-173