Lie Group Analysis of a Flow with Contaminant-Modified Viscosity

A class of coupled system of diffusion equations is considered. Lie group techniques resulted in a rich array of admitted point symmetries for special cases of the source term. We also employ potential symmetry methods for chosen cases of concentration and a zero source term. Some invariant solution...

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Main Author: Raseelo J. Moitsheki
Format: Article
Language:English
Published: Wiley 2007-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2007/38278
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author Raseelo J. Moitsheki
author_facet Raseelo J. Moitsheki
author_sort Raseelo J. Moitsheki
collection DOAJ
description A class of coupled system of diffusion equations is considered. Lie group techniques resulted in a rich array of admitted point symmetries for special cases of the source term. We also employ potential symmetry methods for chosen cases of concentration and a zero source term. Some invariant solutions are constructed using both classical Lie point and potential symmetries.
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institution DOAJ
issn 1110-757X
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language English
publishDate 2007-01-01
publisher Wiley
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series Journal of Applied Mathematics
spelling doaj-art-c71f51d7030347a6bf7a26150b95c2fa2025-08-20T03:22:58ZengWileyJournal of Applied Mathematics1110-757X1687-00422007-01-01200710.1155/2007/3827838278Lie Group Analysis of a Flow with Contaminant-Modified ViscosityRaseelo J. Moitsheki0Department of Mathematics, Vaal University of Technology, Private bag X021, Vanderbijlpark 1900, South AfricaA class of coupled system of diffusion equations is considered. Lie group techniques resulted in a rich array of admitted point symmetries for special cases of the source term. We also employ potential symmetry methods for chosen cases of concentration and a zero source term. Some invariant solutions are constructed using both classical Lie point and potential symmetries.http://dx.doi.org/10.1155/2007/38278
spellingShingle Raseelo J. Moitsheki
Lie Group Analysis of a Flow with Contaminant-Modified Viscosity
Journal of Applied Mathematics
title Lie Group Analysis of a Flow with Contaminant-Modified Viscosity
title_full Lie Group Analysis of a Flow with Contaminant-Modified Viscosity
title_fullStr Lie Group Analysis of a Flow with Contaminant-Modified Viscosity
title_full_unstemmed Lie Group Analysis of a Flow with Contaminant-Modified Viscosity
title_short Lie Group Analysis of a Flow with Contaminant-Modified Viscosity
title_sort lie group analysis of a flow with contaminant modified viscosity
url http://dx.doi.org/10.1155/2007/38278
work_keys_str_mv AT raseelojmoitsheki liegroupanalysisofaflowwithcontaminantmodifiedviscosity