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

被引：8
|
作者：
Grigoriev, Yu. N. [1 ]
Meleshko, S. V. [2 ]
Suriyawichitseranee, A. [2 ]
机构：
[1] Inst Computat Technol, Novosibirsk 630090, Russia
[2] Suranaree Univ Technol, Inst Sci, Sch Math, Nakhon Ratchasima 30000, Thailand
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2014年 / 61卷
关键词：
Boltzmann equation; Admitted Lie group; Group classification;
D O I：
10.1016/j.ijnonlinmec.2014.01.004
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
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.
引用
收藏
页码：15 / 18
页数：4
相关论文
共 50 条
12345