ИСТИНА

We investigate nonlinear stability of steady state solutions for gaseous detonations in systems with heat and momentum losses. A high resolution shock-fitting numerical method is used for the study. We explore the stability of both high velocity solutions with small velocity deficits and low velocity set- valued solutions that were recently found by Semenko et al. (Shock Waves, 2016). It is found that the low velocity solutions exhibit very slow transients early in the development of instability indicating that the existence of set-valued solutions plays a stabilizing role in the detonation dynamics.