On group classification of the spatially homogeneous and isotropic Boltzmann equation with sources II

Autor:	Sergey V. Meleshko, Yu. N. Grigoriev, A. Suriyawichitseranee
Rok vydání:	2014
Předmět:	Source function Partial differential equation Group analysis Mechanics of Materials Group (mathematics) Applied Mathematics Mechanical Engineering Mathematical analysis Characteristic equation Lie group Moment-generating function Boltzmann equation Mathematics
Zdroj:	International Journal of Non-Linear Mechanics. 61:15-18
ISSN:	0020-7462
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8411cf91c51379ccecd77104fa1d160a https://doi.org/10.1016/j.ijnonlinmec.2014.01.004 Zobrazit plný text záznamu Full Text from ScienceDirect