ABSTRACT

Zeldovich-von Neumann-Döring equations are effectively applied to investigation of the combustion phenomena for compressible fluids, whose central issue for aviation industry is the dynamics of detonation waves. In this talk, I will present some recent results on global well-posedness of detonation solutions with large amplitude. A physical ignition condition is imposed on the ZND model. It leads to the loss of uniform dissipation structures of exothermal source, and amplifies the oscillation of combustion waves. For general combustible gases with variable adiabatic indices, we established the well-posedness results for overdriven detonations, and derived the optimal convergence rate of wave front tracking approximations. This talk is based on joint work with Kai Hu（西南大学胡凯副教授）F.M. Huang（黄飞敏教授）