Filamentation near monotone zonal vortex caps
数学专题报告
报告题目(Title)：Filamentation near monotone zonal vortex caps
报告人(Speaker)：Emeric Roulley (SISSA, Trieste, Italy)
地点(Place)：Zoom ID: 890 806 48419 Password: 123456
时间(Time)：2025年10月27日（周一）16:00-17:00
邀请人(Inviter)：薛留堂
报告摘要
We study the Euler equations on a rotating unit sphere, focusing on the dynamics of vortex caps. Leveraging the L^1-stability of monotone, longitude-independent (i.e. zonal) profiles, we demonstrate a generic instability phenomenon characterized by the growth of the interface perimeter for vortex cap solutions. We consider configurations that are nearly equivalent in area to a zonal vortex cap but are perturbed by a localized latitudinal bump. By comparing the longitudinal flows at points along the zonal interface and within the bump region, we track the induced stretching and capture the underlying instability mechanism.
