Lie symmetry and Mei continuum conservation law of system＊  

作　　者：Shi Shen-Yang Fu Jing-Li 

机构地区：[1]Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China

出　　处：《Chinese Physics B》2011年第2期191-195,共5页中国物理B（英文版）

基　　金：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：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.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.

关 键 词：continuum mechanics Lie symmetry Mei symmetry conservation law 

分 类 号：O316[理学—一般力学与力学基础] O412.1[理学—力学]