Thermal explosion in a dusty gas

The thermal explosion problem in a dusty gas is investigated. Dynamical regimes of the system are classified into slow regimes, thermal explosion with delay, thermal explosion (without delay). The critical transition conditions for the different dynamical regimes are analyzed. In the paper we aim mostly at finding critical condition for the new dynamical regime called thermal explosion with delay. We emphasize that this critical condition is a thermal explosion limit. The thermal explosion limit is described by a so-called duck-trajectory on the slow manifold.