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

页码：15 / 18

页数：4

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