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Lie group analysis of a flow with contaminant-modified viscosity. (English) Zbl 1140.76038

Summary: 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.

MSC:

76R50 Diffusion
76M60 Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics
86A05 Hydrology, hydrography, oceanography

Software:

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References:

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