Physics – Mathematical Physics
Scientific paper
2005-06-21
Proceedings of the Seventh International Conference on Geometry, Integrability and Quantization, Varna, Bulgaria, 2005, pp 237
Physics
Mathematical Physics
12 pages + 3 figures. For the Seventh International Conference on Geometry, Integrability and Quantization, Varna, 2005
Scientific paper
After a brief introduction to several variational problems in the study of shapes of thin thickness structures, we deal with variational problems on 2-dimensional surface in 3-dimensional Euclidian space by using exterior differential forms. 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.
Ou-Yang Z. C.
Tu Z. C.
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