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.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 82, No. 2, pp. 350–357, March–April, 2009.
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Volosevich, P.P., Galiguzova, I.I., Levanov, E.I. et al. Discontinuous solutions of gas-dynamics equations taking into account the relaxation of a heat flow with a heat transfer. J Eng Phys Thermophy 82, 346–354 (2009). https://doi.org/10.1007/s10891-009-0190-0
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DOI: https://doi.org/10.1007/s10891-009-0190-0