中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
广义相对论研讨班
Speaker: Lili He (Princeton University)
Inviter: 马思远
Language: English
Title: A physical space derivation of Morawetz-Energy estimates in Kerr spacetimes with large angular momentum
Time&Venue: 2026年8月12日（星期三）15:00-16:00 思源楼S813
Abstract: The physical space method of deriving Morawetz-Energy estimates in Kerr, that is robust method which can be easily extended to perturbations of Kerr, have played an important role in the proof of the nonlinear stability of slowly rotating Kerr black holes. In this talk, I will discuss a physical space derivation of global Morawetz-Energy estimates for the scalar wave equation in a Kerr spacetime with large angular momentum. Based on joint work with Sergiu Klainerman.
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Speaker: Xuantao Chen (Sorbonne University)
Inviter: 马思远
Language: English
Title: Solving the constraint equation for general free data
Time&Venue: 2026年8月12日（星期三）16:15-17:15 思源楼S813
Abstract: We revisit the problem of solving the Einstein constraint equations in vacuum by a new method, which allows us to prescribe four scalar quantities, representing the full dynamical degrees of freedom of the constraint system. We show that once appropriate gauge conditions have been chosen and four scalars freely specified (modulo ℓ ≤ 1 modes), we can rewrite the constraint equations as a well-posed system of coupled transport and elliptic equations on two-spheres. Our method can be applied to construct various types of initial data, including data with arbitrarily fast decay, borderline decay, and short-pulse type data. This is joint work with Sergiu Klainerman.
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