A GROUP CLASSIFICATION OF A SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS MODELING FLOW IN COLLAPSIBLE TUBES

被引：4

作者：

Molati, M. ^{[1
]}

Mahomed, F. M. ^{[1
]}

Soh, C. Wafo ^{[2
]}

机构：

[1] Univ Witwatersrand, Sch Computat & Appl Math, Ctr Differential Equat Continuum Mech & Applicat, ZA-2050 Johannesburg, South Africa

[2] Jackson State Univ, Dept Math, Jackson, MS 39217 USA

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2009年 / 16卷

关键词：

Group classification; Lie algebra; collapsible tube; LIE-ALGEBRAS; STEADY FLOW; GAS;

D O I：

10.1142/S1402925109000406

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this work is to perform group classification of a coupled system of partial differential equations (PDEs) modeling a flow in collapsible tubes. This system of PDEs contains unknown functions of the dependent variables whose forms are specified via the classification with respect to subalgebras of real three and four-dimensional Lie algebras.

引用

页码：179 / 208

页数：30

共 31 条

[21] LIE-ALGEBRAS ASSOCIATED WITH SCALAR 2ND-ORDER ORDINARY DIFFERENTIAL-EQUATIONS [J].