Abstract: | A self-consistent integrodifferential equation is derived for weakly nonlinear perturbations of the surface of a spontaneously radiating shock wave. This equation can have solutions that increase unboundedly with the time.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, 110–118, May–June, 1984.I am very grateful to A. G. Kulikovskii, whose suggested the problem and put forward a number of valuable ideas that helped in the successful completion of the work, and also to A. A. Barmin and the participants of G. G. Chernyi's seminar for helpful discussions. |