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报告题目：GLOBAL REGULARITY FOR EINSTEIN-KLEIN-GORDON SYSTEM WITH U(1)×R ISOMETRY GROUP

报  告  人：周忆  教授(复旦大学)

报告时间：2019年9月5日（星期四）下午 4:00-5:30

报告地点：4号楼4318会议室

邀  请  人：朱长江  教授

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数学学院

2019年9月4日

报告摘要:

        This paper is devoted to the study of the global existence of smooth solutions for the 3+1 dimensional Einstein-Klein-Gordon systems with a U(1)×R isometry group for a class of regular Cauchy data.we first reduce the Einstein equations to a 2+1 dimensional Einstein-wave-Klein-Gordon system. And we show that the first possible singularity can only occur at the axis. Then, we give a proof for the global regularity for the 2+1 dimensional system by Firstly showing the non-concentration of the energy near the first possible singularity and proceed by a proof that the global regularity holds for initial data with small energy.