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Group invariant solutions for two-dimensional solute transport under realistic water flows. (English) Zbl 1101.35064

Summary: We consider a form of the solute transport equation in streamline coordinates. Symmetry analysis of the equation for solute transport with realistic water flows, result in a number of admitted nontrival classical Lie point symmetries. Reduction by one of the number of variables of the governing equation are performed using members of the one-dimensional optimal system. However, we construct invariant solutions using two dimensional nonabelian Lie subalgebra and other techniques.

MSC:

35Q35 PDEs in connection with fluid mechanics
76T20 Suspensions
82C70 Transport processes in time-dependent statistical mechanics

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DIMSYM; REDUCE
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