Stability of vortex quadrupoles with odd-odd symmetry
数学专题报告
报告题目(Title)：Stability of vortex quadrupoles with odd-odd symmetry
报告人(Speaker)：Yao Yao (National University of Singapore)
地点(Place)：Zoom会议号：86147360679，Code：2-6-4-2-6-7
时间(Time)：2024年12月6日（星期五）16:00-17:00
邀请人(Inviter)：徐桂香
报告摘要
In this talk, I will discuss a recent result on the 2D incompressible Euler equation, giving global-in-time stability of vortex quadrupoles satisfying odd symmetry with respect to both axes. Specifically, if the vorticity restricted to a quadrant is signed, sufficiently concentrated and close to its radial rearrangement up to a translation in L^1, we prove that it remains so for all times. Moreover, with a similar strategy we obtain stability of a pair of opposite-signed Lamb dipoles moving away from each other. (joint work with Kyudong Choi and In-Jee Jeong).
主讲人简介
Yao Yao is currently an Associate Professor at the Department of Mathematics at the National University of Singapore. She received her BS degree from Peking University in 2007, and PhD degree in 2012 from UCLA. Her research focuses on the analysis of partial differential equations and their applications in mathematical biology and fluid dynamics. For her research contributions, she was awarded the NSF CAREER Award in 2018, Sloan Research Fellowship in 2020, and Asian Young Scientist Fellowship in 2023.
