数学研究所

学术报告

广义相对论研讨班

Speaker: Jingbo Wan (Columbia University)

Inviter: 马思远 副研究员

Language: Chinese

Title: Hyperbolic Estimates for Nonlinear Stability of Subextremal Reissner-Nordström  I

Time&Venue: 2025年4月24日（星期四） 9:30-10:30 &腾讯会议: 921-175-081  

Abstract: We establish a key hyperbolic estimate for the nonlinear positive-spin Regge-Wheeler system in perturbations of subextremal Reissner-Nordström spacetimes. Building on Dafermos-Rodnianski’s linear analysis on blackhole and Klainerman-Szeftel’s framework of nonlinear stability, we address new challenges from gravitational-electromagnetic coupling, which introduces worse nonlinear terms than in the vacuum case. Key improvements in quadratic terms via Einstein-Maxwell equations play a crucial role in our nonlinear analysis. This work is part of the speaker’s PhD thesis.

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Title: Hyperbolic Estimates for Nonlinear Stability of Subextremal Reissner-Nordström  II

Time&Venue: 2025年4月24日（星期四） 11:00-12:00 &腾讯会议: 921-175-081  

Abstract: This is a continued lecture of the first lecture.