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

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...

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Main Authors: Fakhar, Kamran, Abdul Aziz, Zainal, Kara, Abdul Hamid
Format: Article
Published: Indian Academy of Sciences 2011
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Online Access:http://eprints.utm.my/id/eprint/28593/
https://www.ias.ac.in/describe/article/pram/077/03/0439-0445
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spelling my.utm.285932019-01-28T03:35:26Z http://eprints.utm.my/id/eprint/28593/ A note on the interplay between symmetries, reduction and conservation laws of Stokes' first problem for third-grade rotating fluids Fakhar, Kamran Abdul Aziz, Zainal Kara, Abdul Hamid Q Science 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. Indian Academy of Sciences 2011-09 Article PeerReviewed Fakhar, Kamran and Abdul Aziz, Zainal and Kara, Abdul Hamid (2011) A note on the interplay between symmetries, reduction and conservation laws of Stokes' first problem for third-grade rotating fluids. Pramana-Journal Of Physics, 77 (3). pp. 439-445. ISSN 0304-4289 https://www.ias.ac.in/describe/article/pram/077/03/0439-0445 DOI:10.1007/s12043-011-0164-6
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic Q Science
spellingShingle Q Science
Fakhar, Kamran
Abdul Aziz, Zainal
Kara, Abdul Hamid
A note on the interplay between symmetries, reduction and conservation laws of Stokes' first problem for third-grade rotating fluids
description 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.
format Article
author Fakhar, Kamran
Abdul Aziz, Zainal
Kara, Abdul Hamid
author_facet Fakhar, Kamran
Abdul Aziz, Zainal
Kara, Abdul Hamid
author_sort Fakhar, Kamran
title A note on the interplay between symmetries, reduction and conservation laws of Stokes' first problem for third-grade rotating fluids
title_short A note on the interplay between symmetries, reduction and conservation laws of Stokes' first problem for third-grade rotating fluids
title_full A note on the interplay between symmetries, reduction and conservation laws of Stokes' first problem for third-grade rotating fluids
title_fullStr A note on the interplay between symmetries, reduction and conservation laws of Stokes' first problem for third-grade rotating fluids
title_full_unstemmed A note on the interplay between symmetries, reduction and conservation laws of Stokes' first problem for third-grade rotating fluids
title_sort note on the interplay between symmetries, reduction and conservation laws of stokes' first problem for third-grade rotating fluids
publisher Indian Academy of Sciences
publishDate 2011
url http://eprints.utm.my/id/eprint/28593/
https://www.ias.ac.in/describe/article/pram/077/03/0439-0445
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score 13.18916