广州大学数学大讲坛第五期
第四十八讲——天津师范大学王宇辰博士学术报告
题目：不可压缩欧拉方程的一致旋转涡片解和边界光滑性
时间：2023年6月28日（星期三）下午14：00-16：00
地点：腾讯会议（会议ID:111 423 107）
报告人：王宇辰博士
摘要:In this talk we focus on the uniformly rotating vortex patch (the V-states) on the plane which are relative equilibrium of the two dimensional incompressible Euler equation. With a detailed analysis on the nonlinear structure of the functional, we solve a highly degenerate bifurcation problem where the kernel is 2-dim and the transversality condition also fails. Families of doubly-connected uniformly rotating vortex patch on the plane bifurcated from annuli with certain ratios of radius are obtained. The boundary regularity and possible singular points on the limiting V-states are also studied. This talk is based on joint works with Xin Xu, Guanghui Zhang and Maolin Zhou.
报告人简介：
王宇辰博士，2019年毕业于南开大学陈省身数学研究所，其后在华中师范大学数学与统计学院做博士后研究，2023年三月份至今在天津师范大学学院工作，研究方向为非线性分析和哈密顿动力系统，相关研究工作发表在JDE，CVPDE，Acta Mathematica Sinica等国内外知名期刊上。
