| Инд. авторы: | Suriyawichitseranee A., Grigoriev Y.N., Meleshko S.V. |
| Заглавие: | Group analysis and exact solutions of the spatially homogeneous and isotropic Boltzmann equation with a source term |
| Библ. ссылка: | Suriyawichitseranee A., Grigoriev Y.N., Meleshko S.V. Group analysis and exact solutions of the spatially homogeneous and isotropic Boltzmann equation with a source term // AIP Conference Proceedings. - 2019. - Vol.2153. - Art.020019. - ISSN 0094-243X. |
| Внешние системы: | DOI: 10.1063/1.5125084; РИНЦ: 41692082; SCOPUS: 2-s2.0-85072715115; WoS: 000618061800019; |
| Реферат: | eng: This article is devoted to group analysis of the spatially homogeneous and isotropic Boltzmann equation with a source term. In fact, the Fourier transform of the Boltzmann equation with respect to the molecular velocity variable is considered. Complete group classification with respect to a source function only depending on the independent variables is performed. If a source term includes the dependent variable, then preliminary group classification is given. In the case where the source function also depends on a nonlocal term (number of particles), extension of the equivalence Lie group occurs. Using these equivalence transformations and preliminary group classification, reduced equations are derived, and their generalized BKW-solutions are obtained in an explicit form. © 2019 Author(s). |
| Издано: | 2019 |
| Физ. характеристика: | 020019 |
| 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 |
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