学 术 报 告

报告题目：Stability breaking, concentration breaking and asymptotic analysis in two thermal insulation problems

报告人：李沁峰 副教授  （湖南大学）

报告时间：2020年11月23日上午9点30分- 10点30分

报告地点：数统院307室      
 

数学与统计学院

2020.11.17

报告摘要:In 2017, Bucur-Buttazzo-Nitsch introduced two thermal insulation problem: the energy problem and the eigenvalue problem. In this talk, I will present the stability and concentration breaking result in the energy problem. I will also show that in the eigenvalue problem, as the total mass of the insulating material goes to the symmetry breaking number of a ball, the product of the total mass and the eigenvalue on the ball converge to exactly the half of its range for $m \in (0,\infty)$. Stability of ball shape is also studied in this problem. This is a joint work with Yong Huang and Qiuqi Li from Hunan University.

报告人简介:李沁峰，2018年博士毕业于普渡大学，之后在德州大学圣安东尼奥分校做博士后研究，2020年8月至今在湖南大学工作。主要研究方向是几何测度论、区域变分问题以及非线性偏微分方程，文章发表在IMRN, CVPDE, IUMJ, Adv. CV等杂志上。