勷勤数学•专家报告

题      目：Bubbling and Energy Identities for the Sphere-Valued Half-Harmonic Map Flow

报  告  人：程泽涛 博士  (邀请人：罗天文)

                                              汉阳大学

时      间： 10月15日  10：30-11:30

地     点：数科院东楼401

报告人简介:

          Zetao Cheng received his Ph.D. from Tsinghua University. He subsequently held postdoctoral positions at the Okinawa Institute of Science and Technology (OIST), Japan, and Hanyang University, South Korea. His research focuses on nonlinear analysis. He has published several papers in journals including *Proceedings of the London Mathematical Society* and *Calculus of Variations and Partial Differential Equations*.

摘      要：

         We study bubbling for the sphere-valued half-harmonic map flow constructed by Struwe. We establish energy identities at finite singular times and at infinity, with attachment within rescaled bubble trees at finite times and uniform reconstruction along suitable sequences at infinity. The proof combines harmonic extension, reflection with a boundary line source, and rotational identities. We also obtain partial compactness for general targets with bounded \(L^2\) tension.

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