Group analysis of a one-dimensional model of gas flow in a porous medium

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI:10.1016/j.jappmathmech.2017.12.010

S.V. Khabirov

引用次数: 1

Abstract

A potential has been introduced with based on a conservation law for the simplest one-dimensional model of gas flow in a porous medium. The admissible Lie algebra of this model with this potential is extended by a new transport operator. An optimal system of non-similar subalgebras has been constructed. For one-dimensional subalgebras, all invariant sub-models have been considered and the solutions have been investigated qualitatively. Group analysis can be extended by a consideration of differentially invariant sub-models for subalgebras of greater dimension.

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多孔介质中一维气体流动模型的群分析

基于守恒定律，对多孔介质中最简单的一维气体流动模型引入了势。用一个新的输运算子扩展了具有此势的模型的可容许李代数。构造了一个非相似子代数的最优系统。对于一维子代数，考虑了所有不变子模型，并对其解进行了定性研究。对于较大维数的子代数，可以通过考虑差分不变子模型来扩展群分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Pmm Journal of Applied Mathematics and Mechanics 物理-力学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.