| Инд. авторы: | Grigoriev Y.N., Meleshko S.V., Suriyawichitseranee A. |
| Заглавие: | Application of group analysis to the spatially homogeneous and isotropic Boltzmann equation with source using its Fourier image |
| Библ. ссылка: | Grigoriev Y.N., Meleshko S.V., Suriyawichitseranee A. Application of group analysis to the spatially homogeneous and isotropic Boltzmann equation with source using its Fourier image // Proceedings, 7th International Workshop: Group Analysis of Differential Equations and Integrable Systems (GADEIS VII) : Larnaca, Cyprus, June 15-19, 2014: J.Phys.Conf.Ser. 621 (2015). - 2015. - Art.UNSP 012006. |
| Внешние системы: | DOI: 10.1088/1742-6596/621/1/012006; РИНЦ: 24969737; WoS: 000357939100006; |
| Реферат: | eng: Group analysis of the spatially homogeneous and molecular energy dependent Boltzmann equations with source term is carried out. The Fourier transform of the Boltzmann equation with respect to the molecular velocity variable is considered. The correspondent determining equation of the admitted Lie group is reduced to a partial differential equation for the admitted source. The latter equation is analyzed by an algebraic method. A complete group classification of the Fourier transform of the Boltzmann equation with respect to a source function is given. The representation of invariant solutions and corresponding reduced equations for all obtained source functions are also presented. |
| Издано: | 2015 |
| Конференция: | Название: 7th International Workshop: Group Analysis of Differential Equations and Integrable Systems Аббревиатура: GADEIS-VII Город: Larnaca Страна: Cyprus Даты проведения: 2014-06-15 - 2014-06-19 Ссылка: http://inspirehep.net/record/1376814 |