Discussion of a uniqueness result in ``Equilibrium Configurations for a Floating Drop''

[摘要] We analyze a uniqueness result presented by Elcrat, Neel, and Siegel [1] for unbounded liquid bridges, and show that the proof they presented is incorrect. We add a hypothesis to their stated theorem and prove that their result holds under this condition. Then we use Chebyshev spectral methods to approximate solutions to certain boundary value problems used to check this hypothesis holds at least on a range of cases.

[学科分类] 数学（综合）

[关键词] Capillarity;unbounded liquid bridges;uniqueness