Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	袁旭教授，香港中文大学
Inviter:
Title:	Global behavior of small data solutions for the 2D Dirac--Klein-Gordon equations
Time & Venue:	2022.05.26 10:00-11:00 腾讯会议：585-235-442
Abstract:	The Dirac--Klein-Gordon system is a basic model in particle physics, describing a scalar field and a Dirac field through Yukawa interactions. In this talk, we discuss the two-dimensional Dirac--Klein-Gordon system with a massive scalar field and a massless Dirac field. We will present the recent result of the global behaviors of small data solutions to this system. The main ingredients in our proof are the vector field method and the Ghost weight energy estimate. Our result is valid for general small, high-regular initial data, in particular, there is no restriction on the support of the initial data. This talk is based on the joint work with Shijie Dong, Kuijie Li and Yue Ma.