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- Title
SHAPE OPTIMIZATION IN COMPRESSIBLE LIQUID CRYSTALS.
- Authors
WENYA MA; YIHANG HAO; XIANGAO LIU
- Abstract
The shape optimization problem for the profile in compressible liquid crystals is considered in this paper. We prove that the optimal shape with minimal volume is attainable in an appropriate class of admissible profiles which subjects to a constraint on the thickness of the boundary. Such consequence is mainly obtained from the well-known weak sequential compactness method (see [25]).
- Subjects
LIQUID crystals; STRUCTURAL optimization; NUMERICAL solutions to boundary value problems; SEQUENTIAL analysis; CRYSTALS
- Publication
Communications on Pure & Applied Analysis, 2015, Vol 14, Issue 5, p1623
- ISSN
1534-0392
- Publication type
Article
- DOI
10.3934/cpaa.2015.14.1623