Published July 2019
| Published + Submitted
Journal Article
Open
Non-spherical equilibrium shapes in the liquid drop model
- Creators
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Frank, Rupert L.
Abstract
We prove the existence of a family of volume-constrained critical points of the liquid drop functional, which are cylindrically but not spherically symmetric. This family bifurcates from the ball and exchanges stability with it. We justify a formula of Bohr and Wheeler for the energy of these sets.
Additional Information
© 2019 Published under license by AIP Publishing. Submitted: 11 March 2019; Accepted: 15 June 2019; Published Online: 16 July 2019. The author is grateful for the invitation to give a talk at the ICMP 2018 in Montreal. He thanks T. König for comments on an early version of the manuscript. Partial support from the US National Science Foundation (Grant No. DMS-1363432) is acknowledged.Attached Files
Published - 1.5095603.pdf
Submitted - 1903.04344.pdf
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Additional details
- Eprint ID
- 95603
- Resolver ID
- CaltechAUTHORS:20190520-132849818
- DMS-1363432
- NSF
- Created
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2019-05-20Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field