Comparison of Solutions of One-and Two-Temperature 2D Gas Dynamics Models
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Abstract
The two- temperature gas 2D dynamics equations with the Landau-Teller equation are considered in the paper. The group analysis method is applied to the study these equations. An admitted Lie group is found and an optimal system of two-dimensional subalgebras is constructed. Using the optimal system all representations of nonequivalent solutions reducing to a system of ordinary differential equations can be obtained. A detailed analysis of two sets of invariant solutions is given. Comparison of these solutions with solutions of the classical gas dynamics equations is performed in the paper.
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