Mei symmetry and new conserved quantities for non-material volumes

W. A. Jiang; K. Liu; Z. W. Xia; M. Chen

doi:10.1007/s00707-018-2200-9

Mei symmetry and new conserved quantities for non-material volumes

W. A. Jiang, K. Liu, Z. W. Xia, M. Chen^*

^*Corresponding author for this work

School of Mechanical Engineering

Jiangsu University of Science and Technology

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

This paper is focused on the Mei symmetry of non-material volumes. The Mei symmetrical definition and criterion are given. The criterion equations of the system are presented by introducing the invariance of dynamical functions of the system under infinitesimal transformations of Lie groups. The structure equations and the form of new conserved quantities are proposed. An example is given to illustrate the application of the method; a new conserved quantity is obtained under the Mei symmetrical transformations.

Original language	English
Pages (from-to)	3781-3786
Number of pages	6
Journal	Acta Mechanica
Volume	229
Issue number	9
DOIs	https://doi.org/10.1007/s00707-018-2200-9
Publication status	Published - 1 Sept 2018

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abstract = "This paper is focused on the Mei symmetry of non-material volumes. The Mei symmetrical definition and criterion are given. The criterion equations of the system are presented by introducing the invariance of dynamical functions of the system under infinitesimal transformations of Lie groups. The structure equations and the form of new conserved quantities are proposed. An example is given to illustrate the application of the method; a new conserved quantity is obtained under the Mei symmetrical transformations.",

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AB - This paper is focused on the Mei symmetry of non-material volumes. The Mei symmetrical definition and criterion are given. The criterion equations of the system are presented by introducing the invariance of dynamical functions of the system under infinitesimal transformations of Lie groups. The structure equations and the form of new conserved quantities are proposed. An example is given to illustrate the application of the method; a new conserved quantity is obtained under the Mei symmetrical transformations.

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Mei symmetry and new conserved quantities for non-material volumes

Abstract

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