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

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dc.contributor.authorTreinen, Raymond
dc.date.accessioned2023-05-23T20:59:51Z
dc.date.available2023-05-23T20:59:51Z
dc.date.issued2023-04-03
dc.description.abstractWe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationTreinen, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16867
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectCapillarity
dc.subjectUnbounded liquid bridges
dc.subjectUniqueness
dc.titleDiscussion of a uniqueness result in ``Equilibrium Configurations for a Floating Drop''en_US
dc.typeArticle

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