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Group classification of two-dimensional steady viscous gas dynamics equations with arbitrary state equations

Sergey V Meleshko

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This paper is devoted to the group classification of steady viscous gas dynamics equations in the two-dimensional case (with plane or cylindrical symmetry) with arbitrary state equations. Representations of all invariant solutions are given.


PACS

02.20.Sv Lie algebras of Lie groups

47.85.-g Applied fluid mechanics

MSC

58J70 Invariance and symmetry properties (See also 35A30)

76M60 Symmetry analysis, Lie group and algebra methods

Subjects

Fluid dynamics

Mathematical physics

Dates

Issue 15 (19 April 2002)

Received 4 October 2001, in final form 1 February 2002

Published 5 April 2002



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