DISCONTINUOUS SOLUTIONS OF GAS-DYNAMICS EQUATIONS TAKING INTO ACCOUNT 
THE RELAXATION OF A HEAT FLOW WITH A HEAT TRANSFER

P. P. Volosevich,a I. I. Galiguzova,a
E. I. Levanov,a and E. V. Severinab 

UDC 519

The gas-dynamics equations in Lagrangian mass coordinates 
for a heat flow with a relaxation and a hyperbolic heat transfer have 
been considered in the plane-symmetry approximation. The characteristics 
of the system of these equations were determined. Relations for the 
front of a strong discontinuity of its solution were obtained. With 
the theory of generalized solutions of quasi-linear equations, the 
stability of the discontinuities of gas-dynamic and heat quantities 
characteristic of the indicated flow was demonstrated.

Keywords: gas dynamics of a heat flow with a heat transfer, stability 
of discontinuities of gas-dynamic and heat quantities, relaxation 
of a heat flow, relations for the front of a strong discontinuity. 

aInstitute of Mathematical Simulation, Russian Academy of Sciences, 4a Miusskaya Sq., 
Moscow, 125047, Russia; bMoscow Physical and Technical Institute, 9 Institute Lane, 
Dolgoprudnyi, Moscow Obl., 141700, Russia. Translated from Inzhenerno-Fizicheskii Zhurnal,
 Vol. 82, No. 2, pp. 350-357, March-April, 2009. Original article submitted June 19, 2008.