Variational Problems in Elastic Theory of Biomembranes, Smectic-a Liquid Crystals, and Carbon Related Structures
Tu, Z. C. ; Ou-Yang, Z. C.
arXiv, 0506055 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-06-21
Classification:  Mathematical Physics,  Mathematics - Differential Geometry 
@article{0506055,
     author = {Tu, Z. C. and Ou-Yang, Z. C.},
     title = {Variational Problems in Elastic Theory of Biomembranes, Smectic-a Liquid
  Crystals, and Carbon Related Structures},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0506055}
}

Tu, Z. C.; Ou-Yang, Z. C. Variational Problems in Elastic Theory of Biomembranes, Smectic-a Liquid
  Crystals, and Carbon Related Structures. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506055/