Volume 16, Issue Supplement 1, December 2009, Pages 179 - 208
A Group Classification of a System of Partial Differential Equations Modeling Flow in Collapsible Tubes
Authors
M. Molati*‡, F. M. Mahomed†
Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa
C. Wafo Soh
Department of Mathematics, Jackson State University, P. O. Box 17610, MS 39217, USA,wafosoh@yahoo.com
Received 30 August 2009, Accepted 30 September 2009, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925109000406How to use a DOI?
- Keywords
- Group classification; Lie algebra; collapsible tube
- Abstract
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.
- Copyright
- © 2009 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - M. Molati AU - F. M. Mahomed AU - C. Wafo Soh PY - 2021 DA - 2021/01/07 TI - A Group Classification of a System of Partial Differential Equations Modeling Flow in Collapsible Tubes JO - Journal of Nonlinear Mathematical Physics SP - 179 EP - 208 VL - 16 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925109000406 DO - 10.1142/S1402925109000406 ID - Molati2021 ER -