This article is cited in 7 papers

Research papers

Symmetries and solutions to equations of two-dimensional motions of polytropic gas

A. S. Pavlenko

M. A. Lavrent'ev Institute of Hydrodynamics

Abstract: The optimal system of subalgebras for the $9$-dimensional Lie algebra was constructed. This system classifies invariant submodels of equation governing the motion of polytropic gas with polytrope-exponent $\gamma=2$. Invariant submodels of rank equal to 0 were found and their physical properties were described.

UDC: 533+517.958

MSC: 34A09, 76N15

Received September 27, 2005, published December 22, 2005

Bibliographic databases:

• 
•