欢迎光临!
您现在所在的位置:首页 >> 通知公告 & 学术信息
学术信息
SEMINARS
Subsonic/supersonic/transonic solutions for Euler-Poisson equations with sonic boundary
时间  Datetime
2020-01-10 10:30 — 11:30 
地点  Venue
Middle Lecture Room(703)
报告人  Speaker
Ming Mei (梅茗)
单位  Affiliation
McGill University and Champlain College Saint-Lambert, Canada
邀请人  Host
Yachun (李亚纯)
报告摘要  Abstract

This talk is to present our series of studies concerning with   subsonic/supersonic/ transonic solutions for Euler-Poisson equations of semiconductor models with sonic boundary. According to different types of doping profile of the semiconductor device, we classify the existence/non-existence and uniqueness/multiplicity of the subsonic/supersonic/transonic solutions, and further study the stability of subsonic steady-state when the boundary is sonic. The sonic boundary condition makes the system to be degenerate at the boundary, and yields the singularity of the derivatives of those physical solutions. Some new techniques and ideas are introduced to overcome the degeneracy and singularity. This series of studies is joint with Hailiang Li (李海梁),Jingyu Li(李敬宇),Guojing Zhang (张国敬)and Kaijun Zhang (张凯军)。