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

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      https://www.ias.ac.in/article/fulltext/pram/077/03/0439-0445

    • Keywords

       

      Symmetries and conservation laws; third-grade rotating fluids.

    • Abstract

       

      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.

    • Author Affiliations

       

      K Fakhar1 2 A A Zainal1 A H Kara3

      1. Department of Mathematics, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Skudai, Johor, Malaysia
      2. Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia (UTM), 81310 Skudai, Malaysia
      3. School of Mathematics and Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa
    • Dates

       
  • Pramana – Journal of Physics | News

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