Journal of Applied Mathematics 
Volume 2007 (2007), Article ID 38278, 10 pages
doi:10.1155/2007/38278
Research Article

Lie Group Analysis of a Flow with Contaminant-Modified Viscosity

Raseelo J. Moitsheki

 Department of Mathematics, Vaal University of Technology, Private bag X021, Vanderbijlpark 1900, South Africa
Received 1 November 2006; Revised 19 January 2007; Accepted 8 May 2007

Recommended by 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.