Global oscillatory solutions for the Yang-Mills heat flow
数学专题报告
报告题目(Title)：Global oscillatory solutions for the Yang-Mills heat flow
报告人(Speaker)：郑有泉（天津大学）
地点(Place)：后主楼1220
时间(Time)：2026年4月27日（周一）14:00-14:50
邀请人(Inviter)：熊金钢
报告摘要
We investigate the long-time dynamics for the global solution of the SO(4)-equivariant Yang-Mills heat flow (YMHF) with structure group SU(2) in space dimension 4. For a class of initial data with specific decay at spatial infinity, we prove that the long-time dynamics of YMHF can be described by the initial data in a unified manner. As a consequence, the global solutions can exhibit blow-up, blow-down, and more exotically, oscillatory asymptotic behavior at time infinity. This is a joint work with Yannick Sire (JHU), Juncheng Wei (CUHK) and Yifu Zhou (WHU).
