Lie Group Analysis of a Flow with Contaminant-Modified Viscosity
This article is part of Special Issue:
Raseelo J. Moitsheki,
Raseelo J. Moitsheki
Department of Mathematics, Vaal University of Technology, Private bag X021, Vanderbijlpark 1900, South Africa vut.ac.za
Search for more papers by this authorRaseelo J. Moitsheki,
Raseelo J. Moitsheki
Department of Mathematics, Vaal University of Technology, Private bag X021, Vanderbijlpark 1900, South Africa vut.ac.za
Search for more papers by this authorAcademic Editor: Meir Shillor
Abstract
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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