Some results on spherically symmetric Einstein-scalar-field equations

：刘楚箫（广西大学）
：2024-11-28 10:00
：海韵园实验楼S106

报告人：刘楚箫（广西大学）

时  间：2024年11月28日10:00

地  点：海韵园实验楼S106

内容摘要:

The global initial value problem is the fundamental problem in general relativity and plays an important role. In this talk, I will report some recent progress on global initial value problem for spherically symmetric Einstein-scalar-field equations (with potential) . We prove the existence and uniqueness of the global classical solution for small initial data with wave-like decaying at null infinity and provide the decay estimates. We also show that the spherically symmetric Einstein-scalar-field equations for small slowly particle-like decaying initial data at null infinity have unique global solutions. These are based on joint works with Xiao Zhang.

个人简介：

刘楚箫，广西大学数学与信息科学学院助理教授。2021年于中国科学院数学与系统科学研究院博士毕业。研究方向为数学相对论，主要研究球对称爱因斯坦方程相关问题。获得国家自然科学基金青年基金项目资助，相关成果发表于Advances in Mathematics，Science China Mathematics.

 

联系人：王金花