Floating Bodies Subject To Capillary Attractions

Robert Finn

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Submission date: 05. Nov. 2007 (revised version: November 2007)
published in: Journal of mathematical fluid mechanics, 11 (2009) 3, p. 443-458 
DOI number (of the published article): 10.1007/s00021-008-0268-z
Bibtex
MSC-Numbers: 76B45, 52A10, 52A15
Keywords and phrases: capillarity, contact angle, floating criteria, convex bodies, curves of constant width

Abstract:
Admissible shapes of bodies are characterized, according to the range of configurations in which the body can be made to float in a bath with horizontal surface, in the presence of capillary attractions. This is an expanded version of a paper in the MIS preprint series of 2006, with the same author and title.