CRITERION FOR THERMAL-EXPLOSION WITH REACTANT CONSUMPTION IN A DUSTY GAS

The thermal explosion problem in a dusty gas is investigated. Dynamica l regimes of the system are classified: slow regimes, thermal explosio n with delay, thermal explosion (without delay). The critical transiti on conditions for the different dynamical regimes are analysed. We emp hasize that the critical condition for transition between slow regimes and explosion with delay is a thermal explosion limit. The thermal ex plosion limit is described in the phase space by a so-called duck-traj ectory. (The notion of duck-trajectory was introduced by Cartier for d etailed investigation of relaxation oscillations.)