Conservation laws of the one-dimensional equations of relativistic gas dynamics in Lagrangian coordinates

被引：5

作者：

Nakpim, W. ^{[1
]}

Meleshko, S. V. ^{[2
,3
]}

机构：

[1] Khon Kaen Univ, Dept Math, Fac Sci, Khon Kaen 40002, Thailand

[2] Suranaree Univ Technol, Inst Sci, Sch Math, Nakhon Ratchasima 30000, Thailand

[3] Keldysh Inst Appl Math, Moscow, Russia

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2020年 / 124卷

基金：

俄罗斯科学基金会;

关键词：

Relativistic gas dynamics; Symmetry; Noether's theorem; Conservation law; VARIATIONAL PRINCIPLE; FLUID;

D O I：

10.1016/j.ijnonlinmec.2020.103496

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The present paper is focused on the analysis of the one-dimensional relativistic gas dynamics equations. The studied equations are considered in Lagrangian description, making it possible to find a Lagrangian such that the relativistic gas dynamics equations can be rewritten in a variational form. Such a Lagrangian is found in the paper. Complete group analysis of the Euler-Lagrange equation is performed. The found Lagrangian and the symmetries are used to derive conservation laws in Lagrangian variables by means of Noether's theorem. The analogs of the newly found conservation laws in Eulerian coordinates are presented as well.

引用

页数：5

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