讲座题目🫳🏼：Subsonic/supersonic/transonic solutions for Euler-Poisson equations with sonic boundary 主讲人：梅茗 教授 主持人🔱：周风 教授 开始时间：2020-01-03 13:30:00 讲座地址📨：数学楼102报告厅 主办单位：数学科学学院
报告人简介： 梅茗, 加拿大McGill大学兼职教授，Champlain学院终身教授，博士生导师🫄🤦🏼，意大利L’Aquila大学客座教授。2015年被聘为吉林省长白山学者讲座教授，东北师范大学“东师学者”讲座教授。主要从事流体力学中偏微分方程和生物数学中带时滞反应扩散方程的研究👩🏭，在ARMA, SIAM, JDE, Commun. PDEs 等刊物发表论文90多篇📄。其中有关带时滞的反应扩散方程行波解稳定性的多篇系列性研究论文一直是ESI的高被引论文。梅茗教授是4家SCI国际数学杂志的编委，并一直承担加拿大自然科学基金项目，魁北克省自然科学基金项目🔥，及魁北克省大专院校国际局的基金项目🕵🏻。 报告内容🧈： 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） |
