报告主题:Euler-Poisson equations with sonic boundary: structural stability, quasi-neutral limits, relaxation-time limits
报 告 人:梅茗(加拿大McGill大学及Champlain学院)
报告时间:2024年5月25日(星期六)下午14:30-15:30
报告地点:37号楼 3A01报告厅
邀 请 人:季善明副教授
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数学学院
2024年5月20日
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.
报告人介绍:
梅茗教授, 加拿大McGill大学Adjunct Professor及Champlain学院的终身教授。东北师范大学“东师学者讲座教授”及“吉林省长白山学者讲座教授”。梅茗教授是偏微分方程领域知名学者,主要从事流体力学中半导体偏微分方程和生物数学中带时滞反应扩散方程研究,在Archive Rational Math. Mech., SIAM J. Math. Anal., J. Differential Equations, Commun. PDEs等学术刊物上公开发表论文90余篇,是多家SCI国际数学杂志的编委。