主讲人简介：

杨小舟，中国科学院精密测量研究院教授及数学部主任、博士生导师，现任中国数学会理事及该学会的出版编辑委员会委员，湖北省数学学会副会长，中国科学院数学学位委员会委员，湖北国家应用数学中心执行委员会副主任，中国科协T1级期刊《Acta Mathematica Scientia》编委，《数学物理学报》编委，《数学译林》执行编委，曾获得第八届教育部霍英东基金奖励和湖北省第十三届自然科学优秀学术论文奖一等奖，以及被评为第二届广东省“南粤教坛新秀。

内容摘要：

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（黄飞敏研究员）

主持人：秦玉明

撰写：李学元