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Chin. Phys. B, 2011, Vol. 20(2): 021101    DOI: 10.1088/1674-1056/20/2/021101
THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Prev   Next  

Lie symmetry and Mei conservation law of continuum system

Shi Shen-Yang, Fu Jing-Li
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:  Mei symmetry      conservation law      continuum mechanics      Lie symmetry  
Received:  17 July 2010      Revised:  02 September 2010      Published:  15 February 2011
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, Fu Jing-Li Lie symmetry and Mei conservation law of continuum system 2011 Chin. Phys. B 20 021101

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