Stability of unduloid bridges with free boundary in a Euclidean slab

Haizhong Li; Yukai Xia; Changwei Xiong

doi:10.1007/s11425-016-9076-9

Stability of unduloid bridges with free boundary in a Euclidean slab

Haizhong Li, Yukai Xia, Changwei Xiong^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	917-928
Number of pages	12
Journal	Science China Mathematics
Volume	61
Issue number	5
DOIs	https://doi.org/10.1007/s11425-016-9076-9
Publication status	Published - 1 May 2018

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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.",

keywords = "49Q10, 53A10, free boundary, stability, unduloid",

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Stability of unduloid bridges with free boundary in a Euclidean slab

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