Discussion of a uniqueness result in ``Equilibrium Configurations for a Floating Drop''
Texas State University, Department of Mathematics
We analyze a uniqueness result presented by Elcrat, Neel, and Siegel  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.
Capillarity, Unbounded liquid bridges, Uniqueness
Treinen, R. (2023). Discussion of a uniqueness result in ``Equilibrium Configurations for a Floating Drop''. <i>Electronic Journal of Differential Equations, 2023</i>(32), pp. 1-11.