Discontinuous solutions of gas-dynamics equations taking into account the relaxation of a heat flow with a heat transfer

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. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 82, No. 2, pp. 350–357, March–April, 2009.