Group analysis of dynamics equations of self-gravitating polytropic gas

被引：5

作者：

Klebanov, I. ^{[1
,4
]}

Panov, A. ^{[2
]}

Ivanov, S. ^{[3
]}

Maslova, O. ^{[1
]}

机构：

[1] South Ural State Humanitarian Pedag Univ, Dept Phys & Math, Chelyabinsk 454080, Russia

[2] Chelyabinsk State Univ, Dept Math, Chelyabinsk 454080, Russia

[3] South Ural State Univ, Sch Elect Engn & Comp Sci, Natl Res Univ, Chelyabinsk 454080, Russia

[4] South Ural State Univ, Inst Nat Sci, Natl Res Univ, Chelyabinsk 454080, Russia

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2018年 / 59卷

关键词：

Polytropic self-gravitating gas; Dynamics equations; Lie point symmetries; Invariant solutions;

D O I：

10.1016/j.cnsns.2017.12.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Lie algebras admitted by the dynamics equations of self-gravitating gas for an arbitrary equation of state and a polytropic gas are calculated. A spherically symmetric submodel is constructed for the case of a polytropic gas. The Lie algebras and the optimal system of subalgebras for a spherically symmetric submodel are computed. An invariant solution describing the steady motion is obtained. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：437 / 443

页数：7

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