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Stability of spherically confined free boundary drops with line tension
Annals of Global Analysis and Geometry ( IF 0.7 ) Pub Date : 2020-01-27 , DOI: 10.1007/s10455-020-09699-5
Bennett Palmer

We study the geometry of a stable drop of incompressible liquid constrained to lie in a spherical container. The energy functional is comprised of the surface tension, the wetting energy and the line tension. It is shown that the only stable equilibrium drops having the topology of a disc are flat discs and spherical caps. Sharp conditions for the stability of equilibrium spherical caps and flat discs are given.

中文翻译:

带线张力的球形限制自由边界下降的稳定性

我们研究了受约束在球形容器中的不可压缩液体的稳定液滴的几何形状。能量泛函由表面张力、润湿能和线张力组成。结果表明,唯一具有圆盘拓扑结构的稳定平衡液滴是平圆盘和球冠。给出了平衡球冠和平盘稳定性的尖锐条件。
更新日期:2020-01-27
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