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题名: Group structure of the membrane shape equation
作者: Xu, T ;  Ou-Yang, ZC
刊名: EUROPEAN PHYSICAL JOURNAL E
出版日期: 2004
卷号: 15, 期号:1, 页码:9-12
学科分类: Physics
通讯作者: Xu, T , Huazhong Univ Sci & Technol, Coll Elect & Elect Engn, Wuhan 430074, Peoples R China.
部门归属: Huazhong Univ Sci & Technol, Coll Elect & Elect Engn, Wuhan 430074, Peoples R China; Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
英文摘要: The purpose of this paper is to study the geometry in the plane of the membrane equation or a section equation of a general membrane shape, where the invariance under the group of contact transformations is required. The discussion is mainly based on Cartan's theory of the Lie group. One may find that the relative invariance does not vanish, it is also possible to define a generalized geometry in the plane with the elements of contact of the second order x,y,y',y" as the elements of the space and with a certain five-parameter group as its fundamental group. In the example of axisymmetric membrane shape equation, one may find that the membrane shape is a five-parameter group and characterized by twelve group structure parameters which are functions of pressure difference, tensile stress and asymmetry effect of the membrane or its environment. When these varieties of membrane or environment change, the structure constants vary; then one can obtain directly the change of symmetric group and the information on the membrane shape variation.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000224896100002
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/14010
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Xu, T,Ou-Yang, ZC. Group structure of the membrane shape equation[J]. EUROPEAN PHYSICAL JOURNAL E,2004,15(1):9-12.
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