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VOL. 7 | 2006 Variational Problems In Elastic Theory of Biomembranes, Smectic-A Liquid Crystals, and Carbon Related Structures
Zhanchun Tu, Zhongcan Ou-Yang

Editor(s) Ivaïlo M. Mladenov, Manuel de León


After a brief introduction to several variational problems in the study of shapes of thin structures, we deal with variational problems on two-dimensional surface in three-dimensional Euclidian space by using exterior differential forms and the moving frame method. The morphological problems of lipid bilayers and stabilities of cell membranes are also discussed. The key point is that the first and the second order variations of the free energy determine equilibrium shapes and mechanical stabilities of structures


Published: 1 January 2006
First available in Project Euclid: 14 July 2015

zbMATH: 1112.74018
MathSciNet: MR2228376

Digital Object Identifier: 10.7546/giq-7-2006-237-248

Rights: Copyright © 2006 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences


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