On stability of a catenoidal liquid bridge
type: Item
instance of: scholarly article
title: On stability of a catenoidal liquid bridge
zbMATH Open document ID: 0868.76019
author: Lianmin Zhou
published in: Pacific Journal of Mathematics
publication date: 1996-12-15T00:00:00Z
full work available at URL: v178no1.html
review text: We derive a stability criterion for a catenoidal liquid bridge making contact angles \(\gamma_1\) and \(\gamma_2\) with two parallel plates. We show that for the case of equal contact angles \(\gamma_1= \gamma_2= \gamma\) the stability and instability sets are connected on the interval of admissible \(\gamma\). We also give an example showing that for unequal contact angles, the family of stable catenoidal drops with one contact angle fixed can be disconnected with respect to the other angle. Finally, we give a complete description of the stability and instability sets for various contact angles.
Mathematics Subject Classification ID: 76B45
zbMATH DE Number: 950240
zbMATH Keywords: mean curvature
zbMATH Keywords: catenoidal drops
MaRDI profile type: Publication
OpenAlex ID: W2109516268
DOI: 10.2140/PJM.1997.178.185
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description: scientific article; zbMATH DE number 950240