论文标题

讨论独特性会导致“浮动滴的平衡配置”

Discussion of a uniqueness result in "Equilibrium Configurations for a Floating Drop"

论文作者

Treinen, Ray

论文摘要

我们分析了无限制的液体桥,分析了Elcrat,Neel和Siegel \ cite {ens}提出的唯一性结果,并表明它们提供的证明是不正确的。我们在其陈述的定理中添加了三个假设的选择,并表明它们的结果在这种情况下。然后,我们使用Chebyshev光谱方法来构建一种数值方法,以近似于相关的边界价值问题,该问题显示了三个假设中的一个。

We analyze a uniqueness result presented by Elcrat, Neel, and Siegel \cite{ENS} for unbounded liquid bridges, and show that the proof they presented is incorrect. We add a choice of three hypothesis to their stated theorem and show that their result holds under this condition. Then we use Chebyshev spectral methods to build a numerical method to approximate solutions to a related boundary value problems that show one of the three hypothesis holds.

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