Propagation of a combustion wave in a medium with nonlinear thermal conductivity

A study is made of the problem of the propagation of a thermal wave sustained by an exothermic reaction in a perfect gas. It is assumed that the exothermic reaction begins as a result of the heating of the matter in the medium by the thermal wave.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 184–188, July–August, 1979.I thank V. A. Levin for interest in the work.