Fluid Flows Around Floating Bodies, I: The Hydrostatic Case |
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Authors: | Josef Bemelmans Giovanni P Galdi Mads Kyed |
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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
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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. |
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