TY - JOUR

T1 - Fluid flows around floating bodies, I

T2 - The hydrostatic case

AU - Bemelmans, Josef

AU - Galdi, Giovanni P.

AU - Kyed, Mads

N1 - Funding Information:
Proof. (39) and (40) follow by standard methods. The fact that the minimizer meets the obstacle in a right angle, cf. (41), was proven by Taylor [10] in a much more general context with methods from geometric measure theory. □ Acknowledgments. This research was supported by the German Research Foundation, DFG, under the Mercator Programme INST 222/854-1. The work of G. P. Galdi was also partially supported by NSF grant DMS-1062381. Mads Kyed was supported by the DFG and JSPS as a member of the International Research Training Group Darmstadt-Tokyo IRTG 1529. Josef Bemelmans thanks Juan J. L. Velázquez for pointing out the nature of the forces that are generated in the capillary surface by the infinitesimal rigid motions of the floating body.

PY - 2012/12

Y1 - 2012/12

N2 - 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.

AB - 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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U2 - 10.1007/s00021-011-0090-x

DO - 10.1007/s00021-011-0090-x

M3 - Article

AN - SCOPUS:84870893065

SN - 1422-6928

VL - 14

SP - 751

EP - 770

JO - Journal of Mathematical Fluid Mechanics

JF - Journal of Mathematical Fluid Mechanics

IS - 4

ER -