This article is cited in 1 paper

Research papers

Invariant solutions to dynamic of polytropic gas generated by threedimensional Lie subalgebras

E. V. Mamontov

M. A. Lavrent'ev Institute of Hydrodynamics

Abstract: We study group-theoretical solutions to the dynamic equations of polytropic gas. 95 invariant submodels are considered. In a number of cases the factorsystems can be integrated, and several submodels admit constructing partial solutions. This result is applicable in gas dynamics, aerodynamics, and physics of atmosphere.

Keywords: dynamics of polytropic gas, invariant solution, algebra of symmetry.

UDC: 533, 517.958

MSC: 35L60, 58J70, 76N15

Received February 18, 2009, published April 10, 2009

Bibliographic databases:

•