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Published 1986 | public
Book Section - Chapter

Formal stability of liquid drops with surface tension

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.

Additional Information

© 1986, World Scietific. Research partially supported by DOE contract DE-AT03-85ER 12097. Supported by an NSF postdoctoral fellowship.

Additional details

Created:
August 19, 2023
Modified:
October 20, 2023