GROUP ANALYSIS OF TWO-TEMPERATURE RELAXATION GAS DYNAMICS EQUATIONS WITH CYLINDRICAL AND SPHERICAL SYMMETRIES
Keywords:
Landau-Teller equation, admitted Lie group, cylindrical and spherical symmetries, invariant solutionsAbstract
The two temperature gas dynamics equations with the Landau-Teller equation are considered in the paper. For solutions with spherical and cylindrical symmetry the gas dynamics equations reduce to a system of three partial differential equations. The group analysis method is applied to the study of these equations. As the result we found an admitted Lie group, constructed an optimal system of subalgebras. Using the optimal system of suabalgebras all representations of nonequivalent solutions are obtained. Substituting the representations into gas dynamics equations with the Landau-Teller equation we derived the reduced equations. Analysis of the reduced equations is also given in the paper.
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