This article is cited in 2 papers

Exact solutions for evolutionary submodels of gas dynamics

S. V. Golovin

Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090

Abstract: A new class of exact solutions with functional arbitrariness describing the motion of a polytropic gas is constructed on the basis of invariant submodels of rank two of the evolutionary type. In the solutions obtained, the velocity is a linear function of some spatial coordinates. These solutions describe continuous gas dispersion and the motion with density collapse at a finite time.

UDC: 533.06

Received: 26.02.2002

 English version: Journal of Applied Mechanics and Technical Physics, 2002, 43:4, 493–502

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