| Инд. авторы: | Siriwat P., Grigoriev Y.N., Meleshko S.V. |
| Заглавие: | One class of invariant solutions of the one-dimensional equations of two-temperature relaxation gas dynamics |
| Библ. ссылка: | Siriwat P., Grigoriev Y.N., Meleshko S.V. One class of invariant solutions of the one-dimensional equations of two-temperature relaxation gas dynamics // AIP Conference Proceedings. - 2019. - Vol.2153. - Art.020018. - ISSN 0094-243X. |
| Внешние системы: | DOI: 10.1063/1.5125083; РИНЦ: 41690410; SCOPUS: 2-s2.0-85072700472; WoS: 000618061800018; |
| Реферат: | eng: We apply the group analysis method to the plane one-dimensional equations of two-temperature gas dynamics. One class of invariant solutions is analyzed in the present paper. Stability of this class of solutions analytically as well numerically is considered. © 2019 Author(s). |
| Издано: | 2019 |
| Физ. характеристика: | 020018 |
| Конференция: | Название: International Conference on Modern Treatment of Symmetries, Differential Equations and Applications 2019 Аббревиатура: Symmetry 2019 Город: Nakhon Ratchasima Страна: Thailand Даты проведения: 2019-01-14 - 2019-01-18 |
| Цитирование: | 1. R. Brun, Introduction to Reactive Gas Dynamics (Oxford University Press, Oxford, 2009). 2. Y. N. Grigoryev and I. V. Ershov, Stability and Suppression of Turbulence in Relaxing Molecular Gas Flows (Springer-Verlag, New York, 2017). 3. L. V. Ovsiannikov, Group Analysis of Differential Equations (Nauka, Moscow, 1978). English translation, W. F. Ames (Academic Press, New York, 1982). 4. P. J. Olver, Applications of Lie Groups to Differential Equations (Springer-Verlag, New York, 1986). 5. N. H. Ibragimov, Elementary Lie Group Analysis and Ordinary Differential Equations (Wiley & Sons, Chichester, 1999). 6. I. S. Akhatov, R. K. Gazizov, and N. H. Ibragimov, J. Math. Sci. 55, 1401-1450 (1991), Translated from: Journal of Soviet Mathematics (in Russian). 10.1007/BF01097533 |
