Fluid Flows Around Floating Bodies, I: The Hydrostatic Case

被引：4
|
作者：
Bemelmans, Josef [1 ]
Galdi, Giovanni P. [2 ]
Kyed, Mads [3 ]
机构：
[1] Univ Aachen, Rhein Westfal TH Aachen, Inst Math, Aachen, Germany
[2] Univ Pittsburgh, Dept Mech Engn & Mat Sci, Pittsburgh, PA USA
[3] Tech Univ Darmstadt, Int Res Training Grp 1529, FB Math, Darmstadt, Germany
来源：
JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2012年 / 14卷 / 04期
基金：
美国国家科学基金会;
关键词：
Contact Angle; Fluid Flow; Stokes Equation; Free Boundary; Variational Problem;
D O I：
10.1007/s00021-011-0090-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 pi/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.
引用
收藏
页码：751 / 770
页数：20
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