Seminar will be held in room 303 of Sobolev Institute of Mathematics SB RAS. In order to participate in the seminar, a few minutes prior to the beginning of the seminar you should connect to the Zoom conference via the following link or manually using the Zoom conference ID 897 7646 2466 and password 549526. If you have problems logging into Zoom, you can connect to the YouTube livestream of the seminar .The report will consider the problems of propagation of a one-dimensional detonation wave in a gas mixture with properties periodically varying in space, such as inhomogeneities of temperature or fuel concentration. It is known that in a homogeneous medium a one-dimensional detonation can propagate unsteadily at a speed that performs regular or chaotic oscillations. The question arises of the influence of inhomogeneities in the combustible mixture on such detonation dynamics. Our studies of this issue are based on high-precision numerical calculations of the Euler equations of gas dynamics of reacting media, as well as the Burgers model equation with a reaction. Synchronization effects, new for detonation, and the appearance of Arnold's tongues and the devil's stairs were found. The problem of constructing a qualitative model for describing the transition of a slow combustion wave to detonation will also be considered.
