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
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.