| Инд. авторы: | Karnbanjong A., Suriyawichitseranee A., Grigoriev Yu.N., Meleshko S.V. |
| Заглавие: | Preliminary group classification of the full Boltzmann equation with a source term |
| Библ. ссылка: | Karnbanjong A., Suriyawichitseranee A., Grigoriev Yu.N., Meleshko S.V. Preliminary group classification of the full Boltzmann equation with a source term // AIP Conference Proceedings. - 2017. - Vol.1893. - Art.030062. - ISSN 0094-243X. |
| Внешние системы: | DOI: 10.1063/1.5007520; SCOPUS: 2-s2.0-85034257351; WoS: 000417352000082; |
| Реферат: | eng: The classical Boltzmann equation is an integro-differential equation which describes the time evolution of rarefied gas in terms of a molecular distribution function. For some kinetic problems where it is necessary to add in the Boltzmann equation a source term depending on the independent and dependent variables. This paper is devoted to applying preliminary group classification to the Boltzmann equation with a source function by using the Lie group L-11 admitted by the classical Boltzmann equation. The developed strategy for deriving determining equation of an integro-differential equation with a source (in general form) using a known Lie group admitted by the corresponding equation without the source is applied to the Boltzmann equation with a source. Solving the determining equation for the source function for each subalgebra of the optimal system of subalgebras of the Lie algebra L-11, a preliminary group classification of the Boltzmann equation with respect to the source function is obtained. Furthermore, representations of invariant solutions of the Boltzmann equation with a source are presented. The reduced equations are also shown for some representations of invariant solutions. |
| Ключевые слова: | DIFFUSION; |
| Издано: | 2017 |
| Физ. характеристика: | 030062 |
| Конференция: | Название: XXV Conference on High-energy Processes in Condensed Matter Аббревиатура: HEPCM 2017 Город: Novosibirsk Страна: Russia Даты проведения: 2017-06-05 - 2017-06-09 |
