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Journal of Applied Mechanics and Technical Physics

2002 year, number 4

Exact solutions for evolutionary submodels of gas dynamics

S. V. Golovin
Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090
Pages: 493-502

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.