Symmetry groups of integro-differential equations for linear thermoviscoelastic materials with memory
- 作者: Zhou L.1,2, Meleshko S.2
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隶属关系:
- School of Mathematics and Statistics
- School of Mathematics
- 期: 卷 58, 编号 4 (2017)
- 页面: 587-609
- 栏目: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/160194
- DOI: https://doi.org/10.1134/S0021894417040034
- ID: 160194
如何引用文章
详细
The group analysis method is applied to a system of integro-differential equations corresponding to a linear thermoviscoelastic model. A recently developed approach for calculating the symmetry groups of such equations is used. The general solution of the determining equations for the system is obtained. Using subalgebras of the admitted Lie algebra, two classes of partially invariant solutions of the considered system of integro-differential equations are studied.
作者简介
L.-Q. Zhou
School of Mathematics and Statistics; School of Mathematics
编辑信件的主要联系方式.
Email: longqiao@163.com
中国, Guiyang, Guizhou, 550025; Nakhon Ratchasima, 30000
S. Meleshko
School of Mathematics
Email: longqiao@163.com
泰国, Nakhon Ratchasima, 30000