报告题目：Structural stability of interior subsonic steady-states to hydrodynamic model for semiconductors with sonic boundary

报告时间：2023年7月20日 下午16：00

报告地点：南湖校区教学科研楼104

主办单位：数学与统计学院

主讲人：冯跃红

主讲人简介：副教授，硕士生导师。2014年9月毕业于法国克莱蒙大学，获中、法双博士学位；同年10月到北京工业大学工作，2015年被评为北京工业大学优博。目前主要从事应用科学中的非线性偏微分方程定解问题解的适定性和渐近机制等领域的研究工作，在SIAM. J. Math. Anal.、M3AS、JNS、JDE等期刊发表SCI论文20余篇；主持和参加多项国家自然科学基金和北京市自然科学基金。

研究方向：偏微分方程

摘要: 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.