This article is cited in 3 papers

Research papers

Invariant solution of dynamics of polytropic gas generated by three-dimensional algebras of symmetry

A. I. Golod^a, A. P. Chupakhin<sup>b

a</sup> Novosibirsk State University
^b M. A. Lavrent'ev Institute of Hydrodynamics

Abstract: We consider group-theoretical solution of equations of politropic gas generated by three-dimentional algebras Lie of symmetry. We observe the 37 invariant submodels admitting algebras with large normalizer. The factor systems of these submodels can be integrated.

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

UDC: 533+517.9

MSC: 35L60, 58J70, 76N15

Received December 12, 2007, published May 19, 2008

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