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...

Full description

Bibliographic Details
Main Authors: Fakhar, Kamran, Abdul Aziz, Zainal, Kara, Abdul Hamid
Format: Article
Published: Indian Academy of Sciences 2011
Subjects:
_version_ 1796856409710657536
author Fakhar, Kamran
Abdul Aziz, Zainal
Kara, Abdul Hamid
author_facet Fakhar, Kamran
Abdul Aziz, Zainal
Kara, Abdul Hamid
author_sort Fakhar, Kamran
collection ePrints
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.
first_indexed 2024-03-05T18:42:32Z
format Article
id utm.eprints-28593
institution Universiti Teknologi Malaysia - ePrints
last_indexed 2024-03-05T18:42:32Z
publishDate 2011
publisher Indian Academy of Sciences
record_format dspace
spelling utm.eprints-285932019-01-28T03:35:26Z http://eprints.utm.my/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
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
title 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_short 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
topic Q Science
work_keys_str_mv AT fakharkamran anoteontheinterplaybetweensymmetriesreductionandconservationlawsofstokesfirstproblemforthirdgraderotatingfluids
AT abdulazizzainal anoteontheinterplaybetweensymmetriesreductionandconservationlawsofstokesfirstproblemforthirdgraderotatingfluids
AT karaabdulhamid anoteontheinterplaybetweensymmetriesreductionandconservationlawsofstokesfirstproblemforthirdgraderotatingfluids
AT fakharkamran noteontheinterplaybetweensymmetriesreductionandconservationlawsofstokesfirstproblemforthirdgraderotatingfluids
AT abdulazizzainal noteontheinterplaybetweensymmetriesreductionandconservationlawsofstokesfirstproblemforthirdgraderotatingfluids
AT karaabdulhamid noteontheinterplaybetweensymmetriesreductionandconservationlawsofstokesfirstproblemforthirdgraderotatingfluids