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Invariant solutions of one-dimensional equations of two-temperature relaxation gas dynamics |
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| Authors: | Piyanuch Siriwat Yurii N Grigoriev Sergey V Meleshko |
| Institution: | 1. School of Science, Mae Fah Luang University, Chiang Rai, Thailand;2. Institute of Computational Technology, Novosibirsk, Russia;3. School of Mathematics, Institute of Science, Suranaree University of Technology, Nakhon Ratchasima, Thailand |
| Abstract: | The group analysis method is applied to the plane one-dimensional equations of two-temperature gas dynamics. The complete classification of the equations with respect to admitted Lie group is studied. All invariant solutions are analyzed and their comparisons with the known invariant solutions of the ideal gas dynamics system are presented. |
| Keywords: | compressible fluids and gas dynamics general Lie group and algebra methods symmetry analysis |