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Lie Group Analysis of a Flow with Contaminant‐Modified Viscosity

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  • Raseelo J. Moitsheki

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.

Suggested Citation

  • Raseelo J. Moitsheki, 2007. "Lie Group Analysis of a Flow with Contaminant‐Modified Viscosity," Journal of Applied Mathematics, John Wiley & Sons, vol. 2007(1).
    • Handle: RePEc:wly:jnljam:v:2007:y:2007:i:1:n:038278
    DOI: 10.1155/2007/38278
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    References listed on IDEAS

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    1. Sophocleous, Christodoulos, 2003. "Symmetries and form-preserving transformations of generalised inhomogeneous nonlinear diffusion equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(3), pages 509-529.
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