Department of Mathematics
Texas State University
601 University Dr.
San Marcos, TX 78666, USA
email: rt30@txstate.edu
Raymond Treinen
Abstract:
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.
Submitted July 22, 2022. Published April 3, 2023.
Math Subject Classifications: 35Q35, 76A02.
Key Words: Capillarity; unbounded liquid bridges; uniqueness.
DOI: https://doi.org/10.58997/ejde.2023.32
Show me the PDF file (473 KB), TEX file for this article.
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Raymond Treinen Department of Mathematics Texas State University 601 University Dr. San Marcos, TX 78666, USA email: rt30@txstate.edu |
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