| Инд. авторы: | Grigoriev Yu.N., Meleshko S.V., Suriyawichitseranee A. |
| Заглавие: | On group classification of the spatially homogeneous and isotropic Boltzmann equation with sources II |
| Библ. ссылка: | Grigoriev Yu.N., Meleshko S.V., Suriyawichitseranee A. On group classification of the spatially homogeneous and isotropic Boltzmann equation with sources II // International Journal of Non-Linear Mechanics. - 2014. - Vol.61. - P.15-18. - ISSN 0020-7462. - EISSN 1878-5638. |
| Внешние системы: | DOI: 10.1016/j.finonlinmec.2014.01.004; РИНЦ: 21865699; WoS: 000334083100002; |
| Реферат: | eng: A previous paper by the authors (Grigoriev and Meleshko, 2012 [4]) was devoted to group analysis of the equation for the power moment generating function of a solution of the Boltzmann kinetic equation with sources. An approach developed earlier by Grigoriev and Meleshko (1986 [2]) was employed for finding the admitted Lie group. This approach allowed to correct Nonenmacher's results (1984, [1]) and to perform a partial group classification of the considered equation with respect to a source function. The present paper completes this group classification by an efficient algebraic method. (C) 2014 Elsevier Ltd. All rights reserved.
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| Ключевые слова: | Group classification; Admitted Lie group; Boltzmann equation; |
| Издано: | 2014 |
| Физ. характеристика: | с.15-18 |