A note on the interplay between symmetries, reduction and conservation laws of Stokes’ first problem for third-grade rotating fluids

Pramana

K Fakhar1 2²  A A Zainal²  A H Kara¹ 

[1] School of Mathematics and Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa$$;Department of Mathematics, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Skudai, Johor, Malaysia$$

关键词: Symmetries and conservation laws;    third-grade rotating fluids.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We investigate the invariance properties, nontrivial conservation laws and interplay between these notions that underly the equations governing Stokes’ first problem for third-grade rotating fluids. We show that a knowledge of this leads to a number of different reductions of the governing equations and, thus, a number of exact solutions can be obtained and a spectrum of further analyses may be pursued.

【 授权许可】

Unknown