Stability of helicoidal surfaces with constant mean curvature

Motivated by an experimental result on the shape of liquid water supported by a small stainless helical wire, we find a class of stable helicoidal convex surfaces with constant mean curvature whose boundary consists of a single helix and two short arcs.

Bibliographic Details
Main Authors: Yuta Hatakeyama, Miyuki Koiso
Format: Article
Language:English
Published: World Scientific Publishing 2020-12-01
Series:International Journal of Mathematics for Industry
Subjects:
Online Access:http://www.worldscientific.com/doi/epdf/10.1142/S2661335220500070