勷勤数学•专家报告

题      目：The $p$-Gauss curvature flow and parabolic Monge-Amp\`ere type equations

报  告  人：周阳 博士  (邀请人：罗天文)

                                     香港中文大学        

时      间：3月2日  16：30-17：30

地     点：数科院西楼114

报告人简介:

        周阳，香港中文大学博士后。2022年于华中师范大学获得理学博士学位，2022年9月至2024年8月先后在The Australian National University和University of Wollongong从事博士后研究。主要研究方向为非线性泛函分析、偏微分方程及其应用。在J. Funct. Anal.，Calc. Var. Partial Differential Equations, J. Differential Equations等数学期刊上发表学术论文5篇。

摘      要：

       In this talk, we will present the long time regularity of the interface in the $p$-Gauss Curvature Flow with flat sides, in higher dimensions with $p>1/n$. Here the interface is between the uniformly convex part and the flat part of the flow. Then, we will talk about a priori estimates of convex solutions to the first initial-boundary value problem of parabolic Monge-Amp\`ere equations without concavity. These studies were done with Prof. Huang Genggeng, Prof. Wang Xu-Jia and Dr. Zhu Ruixuan.

          欢迎老师、同学们参加、交流！