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A Björling representation for Jacobi fields on minimal surfaces and soap film instabilities

We develop a general framework for the description of instabilities on soap films using the Björling representation of minimal surfaces. The construction is naturally geometric and the instability has the interpretation as being specified by its amplitude and transverse gradient along any curve lyin...

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Bibliographic Details
Published in:Proc Math Phys Eng Sci
Main Authors: Alexander, Gareth P., Machon, Thomas
Format: Artigo
Language:Inglês
Published: The Royal Society Publishing 2020
Subjects:
Online Access:https://ncbi.nlm.nih.gov/pmc/articles/PMC7428034/
https://ncbi.nlm.nih.gov/pubmed/32831587
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1098/rspa.2019.0903
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