Symmetry classification of collapsible tube model incorporating tension

被引：1

作者：

Molati, M. ^{[1
,2
]}

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

机构：

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

[2] Natl Univ Lesotho, Dept Math & Comp Sci, Maseru, Lesotho

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 01期

关键词：

Group classification; Lie algebra; Collapsible tube; EQUATIONS; FLOW; AIRWAY; GAS;

D O I：

10.1016/j.cnsns.2011.05.003

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 a complete symmetry classification of a collapsible tube model which incorporates the constant longitudinal tension and curvature of the tube wall. The direct method of group classification is used to specify the functional forms of the arbitrary elements (functions) which appear in the model under consideration. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：93 / 99

页数：7

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