应数学与统计学院邀请，法国Bordeaux大学数学研究所 & 中国科学技术大学数学学院Claude-Michel Brauner教授将于2019年4月18日来我校进行学术交流并作学术报告。 

报告题目：Free Interface Problems Arising in Premixed Flame Propagation

报告时间：2019.4.18，周四，上午10:00-12:00

报告地点：数学楼423

报告人：Claude-Michel Brauner教授

报告摘要：

In combustion theory, the propagation of premixed flames is usually described by the conventional thermal-diffusional model with standard Arrhenius kinetics. Formal asymptotic methods based on large activation energy have allowed simpler descriptions, especially when the thin flame zone is replaced by a free interface, called the flame front, which separates burned and unburned gases. At the flame front, the temperature and mass fraction gradients are discontinuous.

Models describing dynamics of thick flames with stepwise ignition-temperature kinetics have recently received considerable attention. There are differences with the Arrhenius kinetics, for example in the case of zero-order stepwise kinetics there are two free interfaces. At the free interface(s), the temperature and mass fraction gradients are this time continuous.

Both classes of free interface problems (Arrhenius and ignition-temperature kinetics) are a priori not classical Stefan problems, as there is no specific condition on the velocity of the interface(s). However, at least near planar traveling fronts, we are able to associate the velocity to a combination of spatial derivatives up to the second order (second-order Stefan condition). Then, we may reformulate the systems as fully nonlinear problems which are very suitable for stability analysis and numerical simulation.

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