Published 1986
| public
Book Section - Chapter
Formal stability of liquid drops with surface tension
- Creators
- Lewis, D.
- Marsden, J.
-
Ratiu, T.
- Other:
- Shlesinger, M. F.
Chicago
An error occurred while generating the citation.
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
- Eprint ID
- 20084
- Resolver ID
- CaltechAUTHORS:20100922-093909997
- Department of Energy (DOE)
- DE-AT03-85ER-12097
- NSF Postdoctoral Fellowship
- Created
-
2010-09-22Created from EPrint's datestamp field
- Updated
-
2020-03-09Created from EPrint's last_modified field