Total Blow-Up versus Single Point Blow-Up

Traditional thermal explosion theory is used to describe reaction initiation in condensed explosives and is limited formally to nondeformable materials. Kassoy and Poland [4] significantly extended this theory to develop an ignition model for a reactive gas in a bounded container in order to describe the induction period. During this induction period there is a spatially homogeneous pressure rise in the system which causes a com- pressive heating effect in the constant volume container. Mathematically this compressibility of the gas is expressed by means of an integral term in the induction model for the temperature perturbation 0(x, t). This model is given by e,-Ak&“+::-1.&j e,(x, t)dx Y x-2 0(x, 0) = d(x) 2 0,