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Chin. Phys. B, 2011, Vol. 20(2): 021101    DOI: 10.1088/1674-1056/20/2/021101

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
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.
Keywords:  continuum mechanics      Lie symmetry      Mei symmetry      conservation law  
Received:  17 July 2010      Revised:  02 September 2010      Accepted manuscript online: 
PACS:  11.30.-j (Symmetry and conservation laws)  
  83.10.Ff (Continuum mechanics)  
Fund: 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).

Cite this article: 

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

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