Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Electrically charged conducting drops revisited


Author: James Q. Feng
Journal: Quart. Appl. Math. 55 (1997), 525-536
MSC: Primary 76B45; Secondary 35Q35, 76W05
DOI: https://doi.org/10.1090/qam/1466146
MathSciNet review: MR1466146
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Abstract: Since its publication in 1882, Rayleigh's work on electrically charged conducting drops has been widely quoted, but its rigorous derivation has not been given in the literature. By means of the domain perturbation technique, this work presents a rigorous derivation of Rayleigh's results, following his approach with Lagrange's equation. With the systematic procedure, it becomes explicit that the first-order surface deformations result in a deviation of the drop surface potential of only second-order significance. Besides providing mathematical details, this work also reveals an apparent error in Rayleigh's original result for two-dimensional (cylindrical) drops.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/qam/1466146
Article copyright: © Copyright 1997 American Mathematical Society


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