Shock dynamics of stable multidimensional detonation

The paper develops a description for the propagation of an unsupported, unsteady, multidimensional detonation wave for an explosive with a fully resolved reaction-zone and a polytropic equation of state. The main features of the detonation are determined once the leading shock surface is known. The principal result is that the detonation velocity in the direction along the normal to the shock is the Chapman-Jouget velocity plus a correction proportional to the local total curvature of the shock. A specific example of unsteady is propogation discussed and the stability of the two-dimensional steady solution is examined