報告人：馮躍紅 副教授

主持人：張曉穎 院長

時 間：2023年7月21日星期五，下午15:00–16:00

地 點：理學院315會議室

主辦單位：長春大學理學院

報告人簡介：馮躍紅，副教授，碩士生導師。2014年9月畢業于法國克萊蒙大學，獲中、法雙博士學位；同年10月到北京工業大學工作，2015年被評為北京工業大學優博。目前主要從事應用科學中的非線性偏微分方程定解問題解的適定性和漸近機制等領域的研究工作，在SIAM. J. Math. Anal.、M3AS、JNS、JDE等期刊發表SCI論文20余篇；主持和參加多項國家自然科學基金和北京市自然科學基金。

觀點綜述：For the stationary hydrodynamic model for semiconductors with sonic boundary, represented by Euler-Poisson equations, it possesses the various physical solutions including interior subsonic solutions/interior supersonic solutions/shock transonic solutions/$C^1$-smooth transonic solutions. However, the structural stability for these physical solutions is challenging and has remained open as we know. In this talk, we give the structural stability of interior subsonic solutions when the doping profiles are restricted in the subsonic region. The main result is proved by using the local (weighted) singularity analysis and the monotonicity argument. Both the result itself and techniques developed here will give us some truly enlightening insights into our follow-up study on the structural stability of the remaining types of solutions. This is a joint work with Haifeng Hu and Ming Mei.