报告题目:Euler-Poisson equations with sonic boundary: structural stability, quasi-neutral limits, relaxation-time limits
报告人:梅茗教授 McGill University & Champlain College 加拿大
报告时间:2024年5月28日 15:00-16:00
报告地点:数学楼第二报告厅
校内联系人:刘长春 liucc@jlu.edu.cn
报告摘要:
In this talk, we present our series of studies on Euler-Poisson equations with sonic boundary. Sonic boundary is a critical boundary, which with the doping profile causes many difficulties for the structure of solutions. We first study the structural stability of steady subsonic/ transonic solutions, when the doping profile is a small perturbation. Then, we study the quasi-neutral limits as the Debye length is vanishing. Finally we present the result on relaxation time limit. The singularity at the boundary layers makes the study to be challenging.
报告人简介:
梅茗教授,加拿大McGill大学兼职教授及Champlain学院的终身教授,博士生导师。2015年被聘为吉林省“长白山学者”讲座教授,以及东北师范大学“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研究,在ARMA, SIAM, JDE, Commun.PDEs 等高水平杂志上发表论文100多篇,是多家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。