This article is cited in 2 papers

Regular, partially invariant solutions of rank 1 and defect 1 of equations of plane motion of a viscous heat-conducting gas

V. V. Bublik

Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090

Abstract: A system of the Navier–Stokes equations of two-dimensional motion of a viscous heat-conducting perfect gas with a polytropic equation of state is considered. Regular, partially invariant solutions of rank 1 and defect 1 are studied. A sufficient condition of their reducibility to invariant solutions of rank 1 is proved. All solutions of this class with a linear dependence of the velocity-vector components on spatial coordinates are examined. New examples of solutions that are not reducible to invariant solutions are obtained.

Keywords: dynamics of a viscous heat-conducting gas, partially invariant solutions.

UDC: 517.957:[532.516.5+536.23]

Received: 15.06.2005
Accepted: 12.12.2005

 English version: Journal of Applied Mechanics and Technical Physics, 2006, 47:6, 790–799

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