RESUMEN

The self-ignition phenomenon of flammable fluids in lagging material is investigated in the case of large activation energy and using spatially uniform assumptions. A complete classification of the dynamical regimes includes slow regimes, thermal explosion, and a novel type of dynamical regime termed "thermal explosion with delay." All possible transition scenarios between the different types of regimes are investigated. An explicit analytical description is obtained for the safe parametric domain in which the initial self-heating does not lead to a final ignition event.

RESUMEN

Brailovsky and Sivashinsky have proposed a model for pressure-driven combustion in the form of a degenerate parabolic system for temperature, concentration, and pressure. It is shown that the existence and uniqueness problem for traveling front solutions can be completely solved by exploiting the existing invariants and by phase plane methods. The approach yields exact propagation speeds which are noticeably larger than the approximations obtained so far.