Published October 1987
| Published
Journal Article
Open
Stability and bifurcation of a rotating planar liquid drop
- Creators
- Lewis, D.
- Marsden, J.
-
Ratiu, T.
Chicago
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Abstract
The stability and symmetry breaking bifurcation of a planar liquid drop is studied using the energy-Casimir method and singularity theory. It is shown that a rigidly rotating circular drop of radius r with surface tension coefficient τ and angular velocity Ω/2 is stable if (Ω/2)^2 <3τ/r^3. A new branch of stable rigidly rotating relative equilibria invariant under rotation through π and reflection across two axes bifurcates from the branch of circular solutions when (Ω/2)^2=3τ/r^3.
Additional Information
© 1987 American Institute of Physics. Received 23 January 1987; accepted 17 June 1987. We thank H. Abarbanel, D. Holm, R. Montgomery, and C. Rosenkilde for useful conversations and helpful remarks. D.L. and J.M. were partially supported by DOE Contract No. DE-AT03-85ER 12097. T.R. was partially supported by a NSF postdoctoral fellowship and a Sloan Foundation fellowship.Attached Files
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Additional details
- Eprint ID
- 11461
- Resolver ID
- CaltechAUTHORS:LEWjmp87
- Department of Energy (DOE)
- DE-AT03-85ER 12097
- NSF
- Alfred P. Sloan Foundation
- Created
-
2008-08-22Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field