Lie symmetry and Mei conservation law of continuum system

doi:10.1088/1674-1056/20/2/021101

中国物理B ›› 2011, Vol. 20 ›› Issue (2): 21101-021101.doi: 10.1088/1674-1056/20/2/021101

• THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS • 上一篇下一篇

Lie symmetry and Mei conservation law of continuum system

施沈阳, 傅景礼

Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China

收稿日期:2010-07-17 修回日期:2010-09-02 出版日期:2011-02-15 发布日期:2011-02-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11072218) and the Natural Science Foundation of Zhejiang Province of China (Grant No. Y6100337).

Lie symmetry and Mei conservation law of continuum system

Shi Shen-Yang(施沈阳)^† and Fu Jing-Li(傅景礼)

Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China

Received:2010-07-17 Revised:2010-09-02 Online:2011-02-15 Published:2011-02-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11072218) and the Natural Science Foundation of Zhejiang Province of China (Grant No. Y6100337).

摘要/Abstract

摘要： Lie symmetry and Mei conservation law of continuum Lagrange system are studied in this paper. The equation of motion of continuum system is established by using variational principle of continuous coordinates. The invariance of the equation of motion under an infinitesimal transformation group is determined to be Lie-symmetric. The condition of obtaining Mei conservation theorem from Lie symmetry is also presented. An example is discussed for applications of the results.

Abstract: Lie symmetry and Mei conservation law of continuum Lagrange system are studied in this paper. The equation of motion of continuum system is established by using variational principle of continuous coordinates. The invariance of the equation of motion under an infinitesimal transformation group is determined to be Lie-symmetric. The condition of obtaining Mei conservation theorem from Lie symmetry is also presented. An example is discussed for applications of the results.

Key words: continuum mechanics, Lie symmetry, Mei symmetry, conservation law

中图分类号: (Symmetry and conservation laws)

11.30.-j

83.10.Ff (Continuum mechanics)

施沈阳, 傅景礼. Lie symmetry and Mei conservation law of continuum system[J]. 中国物理B, 2011, 20(2): 21101-021101.

Shi Shen-Yang(施沈阳) and Fu Jing-Li(傅景礼) . Lie symmetry and Mei conservation law of continuum system[J]. Chin. Phys. B, 2011, 20(2): 21101-021101.

参考文献 20

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Lie symmetry and Mei conservation law of continuum system

Lie symmetry and Mei conservation law of continuum system

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