Title: Trichotomy dynamics of the 1-equivariant harmonic map flow
Speaker: Qidi Zhang (Department of Mathematics, The University of Hong Kong)
Time: 2023/07/07 14:00-16:00 pm (Chinese Standard Time)
Tencent Meeting ID: 265260303
Venue: LiDe Building 402
Abstract: Profile decomposition is an intriguing phenomenon for the critical energy harmonic flow. It is a natural question to ask which configuration of bubbles is possible in the decomposition. Inspired by the formal analysis of Fila-King for the critical heat equation, we construct global solutions for the harmonic map flow in the 1-equivariant class, with global growing, bounded and decaying dynamics.
This is joint work with Juncheng Wei and Yifu Zhou.