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Fluid Flows Around Floating Bodies, I: The Hydrostatic Case
Authors:Josef Bemelmans  Giovanni P Galdi  Mads Kyed
Institution:1. Institut für Mathematik, RWTH Aachen University, Aachen, Germany
2. Department of Mechanical Engineering and Materials Science, University of Pittsburgh, Pittsburgh, USA
3. International Research Training Group 1529, FB Mathematik, TU Darmstadt, Darmstadt, Germany
Abstract:We consider the hydrostatic configuration of a body floating freely on a liquid. Under the influence of gravitational and capillary forces there exists an equilibrium solution with contact angle π/2. This solution is the minimizer of a variational problem with an obstacle condition; the corresponding free boundary consists of the curve where the capillary surface meets the floating body.
Keywords:
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