Stability of unduloid bridges with free boundary in a Euclidean slab

被引：2

作者：

Li, Haizhong ^{[1
]}

Xia, Yukai ^{[2
]}

Xiong, Changwei ^{[3
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[2] Tsinghua Univ, Dept Elect Engn, Beijing 100084, Peoples R China

[3] Australian Natl Univ, Inst Math Sci, Canberra, ACT 2601, Australia

来源：

SCIENCE CHINA-MATHEMATICS | 2018年 / 61卷 / 05期

基金：

中国国家自然科学基金;

关键词：

unduloid; free boundary; stability; CONSTANT MEAN-CURVATURE; CAPILLARY SURFACES; HYPERSURFACES; SYMMETRY; WEDGE; DROPS; SPACE;

D O I：

10.1007/s11425-016-9076-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the stability of unduloids with free boundary in the domain B between two parallel hyperplanes in R (n+1). If the unduloid has one half of period in B and is sufficiently close to a cylinder, then for 2 n 10, it is unstable; while for n 11, it is stable. If the unduloid has two or more halves of period in B and is sufficiently close to a cylinder, then for all n 2, it is unstable.

引用

页码：917 / 928

页数：12

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