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Formal stability of liquid drops with surface tension

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.

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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
Ratiu, T.0000-0003-1972-5768
Additional Information:© 1986, World Scietific. Research partially supported by DOE contract DE-AT03-85ER 12097. Supported by an NSF postdoctoral fellowship.
Funding AgencyGrant Number
Department of Energy (DOE)DE-AT03-85ER-12097
NSF Postdoctoral FellowshipUNSPECIFIED
Record Number:CaltechAUTHORS:20100922-093909997
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20084
Deposited By: Ruth Sustaita
Deposited On:22 Sep 2010 18:15
Last Modified:09 Mar 2020 13:19

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