Lewis, D. and Marsden, J. and Ratiu, T. (1986) Formal stability of liquid drops with surface tension. In: Perspectives in nonlinear dynamics. World Scientific , pp. 71-83. ISBN 9971501147. https://resolver.caltech.edu/CaltechAUTHORS:20100922-093909997
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Abstract
A planar circular liquid drop with radius r, surface tenstion and rotating with angular frequency Ω is shown to be formally stable, in the sense of a positive definite second variation of a combination of conserved quantities, if 3^r/r^3 > (^Ω/2)^2. The proof is based on the energy-Casimir method and the Hamiltonian structure of dynamic free boundary problems.
| Item Type: | Book Section | ||||||
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| Additional Information: | © 1986, World Scietific. Research partially supported by DOE contract DE-AT03-85ER 12097. Supported by an NSF postdoctoral fellowship. | ||||||
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| Record Number: | CaltechAUTHORS:20100922-093909997 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20100922-093909997 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 20084 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Ruth Sustaita | ||||||
| Deposited On: | 22 Sep 2010 18:15 | ||||||
| Last Modified: | 09 Mar 2020 13:19 |
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