Variational Problems in Elastic Theory of Biomembranes, Smectic-a Liquid Crystals, and Carbon Related Structures

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dc.creatorTu, Z. C.
dc.creatorOu-Yang, Z. C.
dc.date2005-06-21
dc.date2006-05-28
dc.date.accessioned2026-07-07T06:42:16Z
dc.date.available2026-07-07T06:42:16Z
dc.descriptionAfter 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.
dc.description12 pages + 3 figures. For the Seventh International Conference on Geometry, Integrability and Quantization, Varna, 2005
dc.identifierhttps://arxiv.org/abs/math-ph/0506055
dc.identifierhttp://arxiv.org/abs/math-ph/0506055
dc.identifierProceedings of the Seventh International Conference on Geometry, Integrability and Quantization, Varna, Bulgaria, 2005, pp 237-248
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101977
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.titleVariational Problems in Elastic Theory of Biomembranes, Smectic-a Liquid Crystals, and Carbon Related Structures
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