Journal article
Shape Optimization and Electron Bubbles
Numerical functional analysis and optimization, v 30(7-8), pp 689-710
31 Aug 2009
Abstract
We present an analytical treatment of the shape optimization problem that arises in the study of electron bubbles. The problem is to minimize a weighted sum of a Laplace eigenvalue, volume, and surface area with respect to the shape of the domain. The analysis employs the calculus of moving surfaces and yields surprising conclusions regarding the stability of equilibrium spherical configurations. Namely, all but the lowest eigenvalue result in unstable configurations and certain combinations of parameters, near-spherical equilibrium stable configurations exist. Two-dimensional and three-dimensional problems are considered and numerical results are presented for the two-dimensional case.
Metrics
Details
- Title
- Shape Optimization and Electron Bubbles
- Creators
- Pavel Grinfeld - Drexel University
- Publication Details
- Numerical functional analysis and optimization, v 30(7-8), pp 689-710
- Publisher
- Taylor & Francis Group
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000270333000003
- Scopus ID
- 2-s2.0-70149119305
- Other Identifier
- 991019312462604721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics, Applied