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.


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


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