Exact solutions to the equations of perfect gases through Lie group analysis and substitution principles

Authors
Oliveri, F Speciale, MP
Citation
F. Oliveri et Mp. Speciale, Exact solutions to the equations of perfect gases through Lie group analysis and substitution principles, INT J N-L M, 34(6), 1999, pp. 1077-1087
Citations number
28
Categorie Soggetti
Mechanical Engineering
Journal title
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
ISSN journal
00207462 → ACNP
Volume
34
Issue
6
Year of publication
1999
Pages
1077 - 1087
Database
ISI
SICI code
0020-7462(199911)34:6<1077:ESTTEO>2.0.ZU;2-H
Abstract
In this paper we consider the equations that govern the motion of perfect g ases. We explicitly characterize some classes of steady solutions in two an d three space dimensions, by introducing invertible point transformations s uggested by Lie group analysis; moreover, by using various transformations known as substitution principles, new steady and unsteady solutions are con structed. (C) 1999 Elsevier Science Ltd. All rights reserved.