题 目：Euler-Poisson equations of semiconductor model with sonic boundary
报 告 人：Ming Mei 教授 (邀请人:黄锐）
Champlain College& McGill University, Canada
时 间：2018-01-18 16:00--17:00
梅茗是加拿大Champlain学院和McGill大学教授，吉林省“长白山学者”特聘教授，东北师范大学"东师学者"讲座教授，主要研究领域为非线性偏微分方程，多数研究工作发表在SIAM和JDE等杂志上，近年来主持了5项加拿大自然科学基金。任Applicable Analysis，International Journal of Numerical Analysis and Modeling等4个SCI杂志编委。
In this talk, we study the well-posedness/ill-posedness and regularity of stationary solutions to the hydrodynamic model of semiconductors represented by Euler-Poisson equations with sonic boundary. When the doping profile is subsonic or supersonic, we prove that, the steady-state equations with sonic boundary possess a unique interior subsonic solution, and at least one interior supersonic solution, and infinitely many transonic shock solutions if the relaxation time is large, and infinity many C^1 smooth
transonic solutions if the relaxation time is small.