On group classification of the spatially homogeneous and isotropic Boltzmann equation with sources II |
| |
| Institution: | 1. Laboratoire Jacques-Louis Lions, Universite P&M Curie, BC187, 4 Place Jussieu, 75252 Paris, cedex 05, France;2. Ilia Vekua Institute of Applied Mathematics of Ivane Javakhishvili Tbilisi State University, University St. 2, 0186 Tbilisi, Georgia;3. Georgian Technical University, Kostava Av. 77, 0175 Tbilisi, Georgia |
| |
| Abstract: | 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. |
| |
| Keywords: | Boltzmann equation Admitted Lie group Group classification |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
