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Stability of unduloid bridges with free boundary in a Euclidean slab

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Date

2017

Authors

Li, Haizhong
Xia, Yukai
Xiong, Changwei

Journal Title

Journal ISSN

Volume Title

Publisher

Zhongguo Kexue Zazhishe/Science in China Press

Abstract

We study the stability of unduloids with free boundary in the domain B between two parallel hyperplanes in Rn+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.

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Citation

URI

http://hdl.handle.net/1885/248256

Collections

ANU Research Publications

Source

Science China Mathematics

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1007/s11425-016-9076-9

Restricted until

2099-12-31

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01_Li_Stability_of_unduloid_bridges_2017.pdf (233.44 KB)

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