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【系综合学术报告】2023年第6期 || The Evolution of Area-preserving and Length-preserving Inverse Curvature Flows for Immersed Locally Convex Closed Plane Curves

【系综合学术报告】


报告题目: The Evolution of Area-preserving and Length-preserving Inverse Curvature Flows for Immersed Locally Convex Closed Plane Curves

报 告 人: 王小六 副教授(东南大学数学学院

时 间: 2023年4月18日(周二)上午 9:00-10:00

地 点: 线上报告(腾讯会议号:747-985-6190)


报告摘要: In this talk, we investigate an area-preserving inverse curvature flow and a length-preserving inverse curvature flow for immersed locally convex closed plane curves. The global-in-time flows are shown to converge smoothly to $m$-fold round circles as time goes to infinity. The sufficient conditions on initial curve are also found to guarantee the occurrence of the flow's singularity at finite time.


报告人简介:王小六,副教授、博士生导师,现任东南大学数学学院副院长。 专业方向为偏微分方程和几何分析。 在曲率流及相关抛物型方程问题方面,取得了较为有意义的研究结果,在《Calc. Var. PDE》,《Math. Z.》,《SIAM J. Math. Anal.》等期刊上发表学术论文20余篇。作为负责人主持完成了1项国家青年项目, 正在主持一项国家面上项目。

邀请人:韩小利