Academic Report of School of Mathematical Sciences [2026] No. 025

(Series Report for High-Level University Construction No. 1284)

Title：Global Dynamics for Dirac-Klein-Gordon System with a Class of Large Initial Data

Speaker：Jingya Zhao, Ph.D. candidate (Southern University of Science and Technology)

Time：12:00-12:30, Apr. 2, 2026

Location：Room 1420, Huiwen Building

Abstract：The Dirac-Klein-Gordon (DKG) system is a fundamental model describing the interaction between a spinor field and a scalar field. In this talk, we consider the Cauchy problem for the DKG system in three spatial dimensions and investigate its global dynamics for a class of large initial data. We prove global existence and linear scattering of solutions in a framework where the Klein-Gordon field is allowed to be large, while the Dirac field remains suitably small.

Faculty and students are welcome to attend!

Invited by: He Mei

School of Mathematical Sciences

March 31, 2026